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(Homology, Homotopy and Applications)

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Volume 1(1), 1999

Table of contents

1. Groupoids and crossed objects in algebraic topology

Ronald Brown, 1-78

2. A homotopy 2--groupoid from a fibration

K.H. Kamps and T. Porter, 79-93

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

Friedrich W. Bauer, 95-116

4. Higher Homotopy Groupoids and Toda Brackets

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

5. K-theory of affine toric varieties

Joseph Gubeladze, 135-145

6. A Categorical Guide to Separation, Compactness and Perfectness

Walter Tholen, 147-161

7. Computing Second Cohomology of Finite Groups with Trivial Coefficients

Graham Ellis and Irina Kholodna, 163-168

8. Operations and Quantum Doubles in Complex Oriented Cohomology Theory

Victor M Buchstaber and Nigel Ray, 169-185

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

Emzar Khmaladze, 187-204

10. On spaces of the same strong n-types

Yves Fèlix and Jean-Claude Thomas, 205-217

Volume 2(1), 2000

Table of contents

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

Dagmar M. Meyer, 1-16

2. Truncations of the ring of number-theoretic functions

Jan Snellman, 17-27

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

Andrew Baker, 29-40

4. The low-dimensional homology of crossed modules

N. D. Gilbert, 41-50

5. Homological Perturbation Theory and Associativity

Pedro Real, 51-88

6. Continuous family groupoids

Alan L. T. Paterson, 89-104

7. More about homological Properties of precrossed modules

Nick Inassaridze and Emzar Khmaladze, 105-114

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

Yves Fèlix and Jean-Claude Thomas, 115-118

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

Luke Hodgkin, 119-126

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

Tamaz Kandelaki, 127-145

11. On the Freyd Categories of an Additive Category

Apostolos Beligiannis, 147-185

Volume 3(1), 2001

Table of Contents

1. Introduction to A-infinity algebras and modules

Bernhard Keller, 1-35

2. Chain functors with isomorphic homology

Friedrich W. Bauer, 37-53

3. Tensor products of spectra and localizations

Friedrich W. Bauer, 55-85

4. Teisi in Ab

Sjoerd E. Crans, 87-100

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

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

6. Semidirect products of categorical groups. Obstruction theory

Antonio R. Garzon and Hvedri Inassaridze, 111-138

7. Homotopy Rinehart Cohomology of Homotopy Lie-Rinehart Pairs

Lars Kjeseth, 139-163

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

Lars Kjeseth, 165-192

9. The cohomology ring of free loop spaces

Luc Menichi, 193-224

Volume 3(2), 2001

Table of Contents

Introduction

Gunnar Carlsson, vi

Problem Session

Gunnar Carlsson, vii-xv

1. Equivariant formal group laws and complex oriented cohomology theories

J.P.C. Greenlees, 225-263

2. Equivariant orientation theory

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

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

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

4. Idempotents and Landweber exactness in brave new algebra

J.P. May, 355-359

5. Stacks and the homotopy theory of simplicial sheaves

J.F. Jardine, 361-384

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

Dev P. Sinha, 385-406

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

Jack Morava, 407-415

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

Po Hu, 417-451

Volume 3(3), 2001

1. Exact completion and representations in abelian categories

J. Rosický and E.M. Vitale, 453-466

Volume 4(1), 2002

1. Cohomology of groups with operators

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

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

Bernhard Keller, 25-28

3. Some results on central extensions of crossed modules

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

4. Simplicial and Crossed Lie Algebras

I. Akca and Z. Arvasi, 43-57

5. A higher dimensional homotopy sequence

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

6. Metrizable Shape And Strong Shape Equivalences

L. Stramaccia, 71-85

7. Module derivations and non triviality of an evaluation fibration

Katsuhiko Kuribayashi, 87-101

8. Extensions of symmetric cat-groups

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

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

Andrew Baker and Alain Jeanneret, 163-173

10. Semi-abelian exact completions

Marino Gran, 175-189

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

Miriam Ruth Kantorovitz and Randy McCarthy, 191-212

12. Topology with Monoidal Control

René dePont Christensen and Hans Jørgen Munkholm, 213-234

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

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

Luchezar L. Avramov, 1-16

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

Luchezar L. Avramov, 17-27

3. Secondary cohomology and the Steenrod square

Hans-Joachim Baues, 29-62

4. Crossed extensions of algebras and Hochschild cohomology

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

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

Rikard Bögvad, 83-116

6. An algebraic model for homotopy fibers

Nicolas Dupont and Kathryn Hess, 117-139

7. Nonsplit extensions of modular Lie algebras of rank 2

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

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

Askar Dzhumadil'daev and Clas Löfwall, 165-190

9. On minimal models in integral homotopy theory

Torsten Ekedahl, 191-218

10. Growth and Lie brackets in the homotopy Lie algebra

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

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

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

R. Fröberg and C. Löfwal, 227-258

2. Defining relations for classical Lie superalgebras without Cartan matrices

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

3. Resolutions by mapping cones

Jürgen Herzog and Yukihide Takayama, 277-294

4. Presentation Depth and the Lipman-Sathaye Jacobian Theorem

Melvin Hochster, 295-314

5. On Constructing Resolutions Over the Polynomial Algebra

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

6. A periodisation of semisimple Lie algebras

Anna Larsson, 337-355

7. Noncommutative deformations of modules

O. A. Laudal, 357-396

8. The Riemann tensor for nonholonomic manifolds

Dimitry Leites, 397-407

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

Guillermo Moreno-Socías and Jan Snellman, 409-426

10. Resolutions and Lattices

Irena Peeva, 427-437

Volume 5(1), 2003

1. Category of A_µ-categories

V. Lyubashenko, 1-48

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

Ronald Brown and Philip J. Higgins, 49-52

3. Group Extensions And Automorphism Group Rings

John Martino and Stewart Priddy, 53-70

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

Jack Morava, 71

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

A. Lazarev, 73-100

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

Mahmoud Benkhalifa, 101-120

7. A Thom Isomorphism for Infinite Rank Euclidean Bundles

Jody Trout, 121-159

8. The Equivariant J-homomorphism

Christopher French, 161-212

9. P-embeddings, AR and ANR spaces

L. Stramaccia, 213-218

10. Weak Corestriction Principle for Non-Abelian Galois Cohomology

Nguyen Quoc Thang, 219-249

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

Jonathan Natov, 251-260

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

Simona Paoli, 261-296

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

Donald M. Davis, 297-324

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

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

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

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

Alex Patchkoria, 387-406

17. Extensions of homogeneous coordinate rings to A_µ-algebras

A. Polishchuk, 407-421

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

Hiroo Shiga and Toshihiro Yamaguchi, 423-436

Volume 5(2), 2003

Table of Contents

Introduction

Gunnar Carlsson, Rick Jardine, vi

1. Dicovering spaces

Lisbeth Fajstrup, 1-17

2. Computing Linking Numbers of a Filtration

Herbert Edelsbrunner and Afra Zomorodian, 19-37

3. Topological Deformation of Higher Dimensional Automata

Philippe Gaucher and Eric Goubault, 39-82

4. Computation of Cohomology Operations on Finite Simplicial Complexes

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

5. Some Geometric Perspectives in Concurrency Theory

Eric Goubault, 95-136

6. On the Geometry of Intuitionistic S4 Proofs

Jean Goubault-Larrecq and Eric Goubault, 137-209

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

Marco Grandis, 211-231

8. Computing Homology

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

9. State spaces and dipaths up to dihomotopy

Martin Raussen, 257-280