,

(Homology, Homotopy and Applications)

 

Volume 1(1), 1999


Table of contents

dvi | dvi.gz | ps | ps.gz

1. Groupoids and crossed objects in algebraic topology

Ronald Brown, 1-78

abstract | dvi | dvi.gz | ps | ps.gz

2. A homotopy 2--groupoid from a fibration

K.H. Kamps and T. Porter, 79-93

abstract | dvi | dvi.gz | ps | ps.gz

3. The Boardman Category of spectra, Chain complexes and (Co-)Localizations

Friedrich W. Bauer, 95-116

abstract | dvi | dvi.gz | ps | ps.gz

4. Higher Homotopy Groupoids and Toda Brackets

K.A. Hardie, K.H. Kamps and R.W. Kieboom, 117-134

abstract | dvi | dvi.gz | ps | ps.gz

5. K-theory of affine toric varieties

Joseph Gubeladze, 135-145

abstract | dvi | dvi.gz | ps | ps.gz

6. A Categorical Guide to Separation, Compactness and Perfectness

Walter Tholen, 147-161

abstract | dvi | dvi.gz | ps | ps.gz

7. Computing Second Cohomology of Finite Groups with Trivial Coefficients

Graham Ellis and Irina Kholodna, 163-168

abstract | dvi | dvi.gz | ps | ps.gz

8. Operations and Quantum Doubles in Complex Oriented Cohomology Theory

Victor M Buchstaber and Nigel Ray, 169-185

abstract | dvi | dvi.gz | ps | ps.gz

9. Non-abelian tensor and exterior products modulo q and universal q-central relative extension of Lie algebras

Emzar Khmaladze, 187-204

abstract | dvi | dvi.gz | ps | ps.gz

10. On spaces of the same strong n-types

Yves Flix and Jean-Claude Thomas, 205-217

abstract | dvi | dvi.gz | ps | ps.gz


Volume 2(1), 2000


Table of contents

dvi | dvi.gz | ps | ps.gz

1. Stripping and conjugation in the mod p Steenrod algebra and its dual

Dagmar M. Meyer, 1-16

abstract | dvi | dvi.gz | ps | ps.gz

2. Truncations of the ring of number-theoretic functions

Jan Snellman, 17-27

abstract | dvi | dvi.gz | ps | ps.gz

3. On the cohomology of some Hopf algebroids and Hattori-Stong theorems

Andrew Baker, 29-40

abstract | dvi | dvi.gz | ps | ps.gz

4. The low-dimensional homology of crossed modules

N. D. Gilbert, 41-50

abstract | dvi | dvi.gz | ps | ps.gz

5. Homological Perturbation Theory and Associativity

Pedro Real, 51-88

abstract | dvi | dvi.gz | ps | ps.gz

6. Continuous family groupoids

Alan L. T. Paterson, 89-104

abstract | dvi | dvi.gz | ps | ps.gz

7. More about homological Properties of precrossed modules

Nick Inassaridze and Emzar Khmaladze, 105-114

abstract | dvi | dvi.gz | ps | ps.gz

8. Erratum to "On spaces of the same strong n-type" [HHA, v. 1 (1999) No. 10, pp. 205-217]

Yves Flix and Jean-Claude Thomas, 115-118

dvi | dvi.gz | ps | ps.gz

9. Topological K-theory of the Integers at the Prime 2

Luke Hodgkin, 119-126

abstract | dvi | dvi.gz | ps | ps.gz

10. KK-theory as the K-theory of C*-categories

Tamaz Kandelaki, 127-145

abstract | dvi | dvi.gz | ps | ps.gz

11. On the Freyd Categories of an Additive Category

Apostolos Beligiannis, 147-185

abstract | dvi | dvi.gz | ps | ps.gz


Volume 3(1), 2001


Table of Contents

dvi | dvi.gz | ps | ps.gz | pdf

1. Introduction to A-infinity algebras and modules

Bernhard Keller, 1-35

abstract | dvi | dvi.gz | pics | ps | ps.gz

2. Chain functors with isomorphic homology

Friedrich W. Bauer, 37-53

abstract | dvi | dvi.gz | ps | ps.gz

3. Tensor products of spectra and localizations

Friedrich W. Bauer, 55-85

abstract | dvi | dvi.gz | ps | ps.gz

4. Teisi in Ab

Sjoerd E. Crans, 87-100

abstract | dvi | dvi.gz | ps | ps.gz

5. Methods of Calculating Cohomological and Hochschild-Mitchell Dimensions of Finite Partially Ordered Sets

A. A. Husainov and A. Pancar, 101-110

abstract | dvi | dvi.gz | ps | ps.gz

6. Semidirect products of categorical groups. Obstruction theory

Antonio R. Garzon and Hvedri Inassaridze, 111-138

abstract | dvi | dvi.gz | ps | ps.gz

7. Homotopy Rinehart Cohomology of Homotopy Lie-Rinehart Pairs

Lars Kjeseth, 139-163

abstract | dvi | dvi.gz | ps | ps.gz

8. A Homotopy Lie-Rinehart Resolution and Classical BRST Cohomology

Lars Kjeseth, 165-192

abstract | dvi | dvi.gz | ps | ps.gz

9. The cohomology ring of free loop spaces

Luc Menichi, 193-224

abstract | dvi | dvi.gz | ps | ps.gz


Volume 3(2), 2001


Equivariant Stable Homotopy Theory and Related Areas

Proceedings of a Workshop

Held at Stanford University,

August 2000

Edited by Gunnar Carlsson


Table of Contents

dvi | dvi.gz | ps | ps.gz | pdf

Introduction

Gunnar Carlsson, vi

dvi | dvi.gz | ps | ps.gz | pdf

Problem Session

Gunnar Carlsson, vii-xv

dvi | dvi.gz | ps | ps.gz | pdf

1. Equivariant formal group laws and complex oriented cohomology theories

J.P.C. Greenlees, 225-263

abstract | dvi | dvi.gz | ps | ps.gz | pdf

2. Equivariant orientation theory

S.R. Costenoble, J.P. May and S. Waner, 265-339

abstract | dvi | dvi.gz | ps | ps.gz | pdf

3. Cores of spaces, spectra, and E ring spectra

P. Hu, I. Kriz and J.P. May, 341-354

abstract | dvi | dvi.gz | ps | ps.gz | pdf

4. Idempotents and Landweber exactness in brave new algebra

J.P. May, 355-359

abstract | dvi | dvi.gz | ps | ps.gz | pdf

5. Stacks and the homotopy theory of simplicial sheaves

J.F. Jardine, 361-384

abstract | dvi | dvi.gz | ps | ps.gz | pdf

6. The Geometry of the Local Cohomology Filtration in Equivariant Bordism

Dev P. Sinha, 385-406

abstract | dvi | dvi.gz | ps | ps.gz | pdf

7. The tangent bundle of an almost-complex free loopspace

Jack Morava, 407-415

abstract | dvi | dvi.gz | ps | ps.gz | pdf

8. Base change functors in the A1-stable homotopy category

Po Hu, 417-451

abstract | dvi | dvi.gz | ps | ps.gz | pdf


Volume 3(3), 2001


1. Exact completion and representations in abelian categories

J. Rosick and E.M. Vitale, 453-466

abstract | dvi | dvi.gz | ps | ps.gz | pdf

 


Volume 4(1), 2002


1. Cohomology of groups with operators

A. M. Cegarra, J. M. Garca-Calcines and J. A. Ortega, 1-23

abstract | dvi | dvi.gz | ps | ps.gz | pdf

2. Addendum to "Introduction to A-infinity algebras and modules"
[HHA, v. 3 (2001) No. 1, pp. 1-35]

Bernhard Keller, 25-28

dvi | dvi.gz | ps | ps.gz | pdf

3. Some results on central extensions of crossed modules

A. M. Vieites and J. M. Casas, 29-42

abstract | dvi | dvi.gz | ps | ps.gz | pdf

4. Simplicial and Crossed Lie Algebras

I. Akca and Z. Arvasi, 43-57

abstract | dvi | dvi.gz | ps | ps.gz | pdf

5. A higher dimensional homotopy sequence

M. Grandis and E. M. Vitale, 59-69

abstract | dvi | dvi.gz | ps | ps.gz | pdf

6. Metrizable Shape And Strong Shape Equivalences

L. Stramaccia, 71-85

abstract | dvi | dvi.gz | ps | ps.gz | pdf

7. Module derivations and non triviality of an evaluation fibration

Katsuhiko Kuribayashi, 87-101

abstract | dvi | dvi.gz | ps | ps.gz | pdf

8. Extensions of symmetric cat-groups

D. Bourn and E.M. Vitale, 103-162

abstract | dvi | dvi.gz | ps | ps.gz | pdf

9. Brave new Hopf algebroids and extensions of MU-algebras

Andrew Baker and Alain Jeanneret, 163-173

abstract | dvi | dvi.gz | ps | ps.gz | pdf

10. Semi-abelian exact completions

Marino Gran, 175-189

abstract | dvi | dvi.gz | ps | ps.gz | pdf

11. The Taylor towers for rational algebraic K-theory and Hochschild homology

Miriam Ruth Kantorovitz and Randy McCarthy, 191-212

abstract | dvi | dvi.gz | ps | ps.gz | pdf

12. Topology with Monoidal Control

Ren dePont Christensen and Hans Jrgen Munkholm, 213-234

abstract | dvi | dvi.gz | ps | ps.gz | pdf


The Roos Festschrift volume (1)

Special issue in honor of
 

Jan Erik Roos

on the occasion of his
65th birthday

Volume 4(2002), No. 2(1)


Table of Contents

dvi | dvi.gz | ps | ps.gz | pdf

1. The work of Jan-Erik Roos on the cohomology of commutative rings

Luchezar L. Avramov, 1-16

abstract | dvi | dvi.gz | ps | ps.gz | pdf

2. Homotopy Lie algebras and Poincar series of algebras with monomial relations

Luchezar L. Avramov, 17-27

abstract | dvi | dvi.gz | ps | ps.gz | pdf

3. Secondary cohomology and the Steenrod square

Hans-Joachim Baues, 29-62

abstract | dvi | dvi.gz | ps | ps.gz | pdf

4. Crossed extensions of algebras and Hochschild cohomology

Hans-Joachim Baues and Elias Gabriel Minian, 63-82

abstract | dvi | dvi.gz | ps | ps.gz | pdf

5. An analogue of holonomic D-modules on smooth varieties in positive characteristics

Rikard Bgvad, 83-116

abstract | dvi | dvi.gz | ps | ps.gz | pdf

6. An algebraic model for homotopy fibers

Nicolas Dupont and Kathryn Hess, 117-139

abstract | dvi | dvi.gz | ps | ps.gz | pdf

7. Nonsplit extensions of modular Lie algebras of rank 2

A. S. Dzhumadil'daev and S. S. Ibraev, 141-163

abstract | dvi | dvi.gz | ps | ps.gz | pdf

8. Trees, Free Right-Symmetric Algebras, Free Novikov Algebras and Identities

Askar Dzhumadil'daev and Clas Lfwall, 165-190

abstract | dvi | dvi.gz | ps | ps.gz | pdf

9. On minimal models in integral homotopy theory

Torsten Ekedahl, 191-218

abstract | dvi | dvi.gz | ps | ps.gz | pdf

10. Growth and Lie brackets in the homotopy Lie algebra

Yves Flix, Stephen Halperin and Jean-Claude Thomas, 219-225

abstract | dvi | dvi.gz | ps | ps.gz | pdf


The Roos Festschrift volume (2)

Special issue in honor of
 

Jan Erik Roos

on the occasion of his
65th birthday

Volume 4(2002), No. 2(2)


Table of Contents

dvi | dvi.gz | ps | ps.gz | pdf

1. Koszul homology and Lie algebras with application to generic forms and points

R. Frberg and C. Lfwal, 227-258

abstract | dvi | dvi.gz | ps | ps.gz | pdf

2. Defining relations for classical Lie superalgebras without Cartan matrices

P. Grozman, D. Leites and E. Poletaeva, 259-275

abstract | dvi | dvi.gz | ps | ps.gz | pdf

3. Resolutions by mapping cones

Jrgen Herzog and Yukihide Takayama, 277-294

abstract | dvi | dvi.gz | ps | ps.gz | pdf

4. Presentation Depth and the Lipman-Sathaye Jacobian Theorem

Melvin Hochster, 295-314

abstract | dvi | dvi.gz | ps | ps.gz | pdf

5. On Constructing Resolutions Over the Polynomial Algebra

Leif Johansson, Larry Lambe and Emil Skldberg, 315-336

abstract | dvi | dvi.gz | ps | ps.gz | pdf

6. A periodisation of semisimple Lie algebras

Anna Larsson, 337-355

abstract | dvi | dvi.gz | ps | ps.gz | pdf

7. Noncommutative deformations of modules

O. A. Laudal, 357-396

abstract | dvi | dvi.gz | ps | ps.gz | pdf

8. The Riemann tensor for nonholonomic manifolds

Dimitry Leites, 397-407

abstract | dvi | dvi.gz | ps | ps.gz | pdf

9. Some conjectures about the Hilbert series of generic ideals in the exterior algebra

Guillermo Moreno-Socas and Jan Snellman, 409-426

abstract | dvi | dvi.gz | ps | ps.gz | pdf

10. Resolutions and Lattices

Irena Peeva, 427-437

abstract | dvi | dvi.gz | ps | ps.gz | pdf


Volume 5(1), 2003


1. Category of A-categories

V. Lyubashenko, 1-48

abstract | dvi | dvi.gz | ps | ps.gz | pdf

2. Cubical abelian groups with connections are equivalent to chain complexes

Ronald Brown and Philip J. Higgins, 49-52

abstract | dvi | dvi.gz | ps | ps.gz | pdf

3. Group Extensions And Automorphism Group Rings

John Martino and Stewart Priddy, 53-70

abstract | dvi | dvi.gz | ps | ps.gz | pdf

4. Erratum to "The tangent bundle of an almost complex free loopspace"
[HHA, v. 3(2)(2001), 407-415]

Jack Morava, 71

dvi | dvi.gz | ps | ps.gz | pdf

5. Hochschild cohomology and moduli spaces of strongly homotopy associative algebras

A. Lazarev, 73-100

abstract | dvi | dvi.gz | ps | ps.gz | pdf

6. Sur le type d'homotopie d'un CW-complexe

Mahmoud Benkhalifa, 101-120

abstract | dvi | dvi.gz | ps | ps.gz | pdf

7. A Thom Isomorphism for Infinite Rank Euclidean Bundles

Jody Trout, 121-159

abstract | dvi | dvi.gz | ps | ps.gz | pdf

8. The Equivariant J-homomorphism

Christopher French, 161-212

abstract | dvi | dvi.gz | ps | ps.gz | pdf

9. P-embeddings, AR and ANR spaces

L. Stramaccia, 213-218

abstract | dvi | dvi.gz | ps | ps.gz | pdf

10. Weak Corestriction Principle for Non-Abelian Galois Cohomology

Nguyen Quoc Thang, 219-249

abstract | dvi | dvi.gz | ps | ps.gz | pdf

11. On Signatures and a Subgroup of a Central Extension to the Mapping Class Group

Jonathan Natov, 251-260

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

12. (Co)homology of crossed modules with coefficients in a p1-module

Simona Paoli, 261-296

abstract | dvi | dvi.gz | ps | ps.gz | pdf

13. Representation types and 2-primary homotopy groups of certain compact Lie groups

Donald M. Davis, 297-324

abstract | dvi | dvi.gz | ps | ps.gz | pdf

14. The Bloch invariant as a characteristic class in B(SLn2(C),$\mathfrak{T}$)

Jos Luis Cisneros-Molina and John D. S. Jones, 325-344

abstract | dvi | dvi.gz | ps | ps.gz | pdf

15. Weak (co)fibrations in categories of (co)fibrant objects

R. W. Kieboom, G. Sonck, T. Van der Linden and P. J. Witbooi, 345-386

abstract | dvi | dvi.gz | ps | ps.gz | pdf

16. Extensions of Semimodules and The Takahashi Functor ExtL (C, A)

Alex Patchkoria, 387-406

abstract | dvi | dvi.gz | ps | ps.gz | pdf

17. Extensions of homogeneous coordinate rings to A-algebras

A. Polishchuk, 407-421

abstract | dvi | dvi.gz | ps | ps.gz | pdf

18. The set of rational homotopy types with given cohomology algebra

Hiroo Shiga and Toshihiro Yamaguchi, 423-436

abstract | dvi | dvi.gz | ps | ps.gz | pdf


Volume 5(2), 2003


Algebraic Topological Methods
in Computer Science

Proceedings of a Workshop

Held at Stanford University,

July 30 - August 3, 2001

Edited by Gunnar Carlsson


Table of Contents

dvi | dvi.gz | ps | ps.gz | pdf

Introduction

Gunnar Carlsson, Rick Jardine, vi

dvi | dvi.gz | ps | ps.gz | pdf

1. Dicovering spaces

Lisbeth Fajstrup, 1-17

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

2. Computing Linking Numbers of a Filtration

Herbert Edelsbrunner and Afra Zomorodian, 19-37

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

3. Topological Deformation of Higher Dimensional Automata

Philippe Gaucher and Eric Goubault, 39-82

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

4. Computation of Cohomology Operations on Finite Simplicial Complexes

R. Gonzalez-Diaz and P. Real, 83-93

abstract | dvi | dvi.gz | ps | ps.gz | pdf

5. Some Geometric Perspectives in Concurrency Theory

Eric Goubault, 95-136

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

6. On the Geometry of Intuitionistic S4 Proofs

Jean Goubault-Larrecq and Eric Goubault, 137-209

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

7. Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency

Marco Grandis, 211-231

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic

8. Computing Homology

Tomasz Kaczynski, Konstantin Mischaikow and Marian Mrozek, 233-256

abstract | dvi | dvi.gz | ps | ps.gz | pdf

9. State spaces and dipaths up to dihomotopy

Martin Raussen, 257-280

abstract | dvi | dvi.gz | ps | ps.gz | pdf | pic