**Contemporary Mathematics**

Volume: 641;
2015;
166 pp;
Softcover

MSC: Primary 18; 22; 55; 57;

Print ISBN: 978-1-4704-1013-1

Product Code: CONM/641

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

**Electronic ISBN: 978-1-4704-2495-4
Product Code: CONM/641.E**

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

# Women in Topology: Collaborations in Homotopy Theory

Share this page *Edited by *
*Maria Basterra; Kristine Bauer; Kathryn Hess; Brenda Johnson*

This volume contains the proceedings of the WIT: Women in Topology
workshop, held from August 18–23, 2013, at the Banff International
Research Station, Banff, Alberta, Canada. The Women in Topology workshop
was devoted primarily to active collaboration by teams of five to
seven participants, each including senior and junior researchers, as
well as graduate students.

This volume contains papers based on the results obtained by team
projects in homotopy theory, including \(A\)-infinity structures,
equivariant homotopy theory, functor calculus, model categories,
orbispaces, and topological Hochschild homology.

#### Readership

Graduate students and research mathematicians interested in homotopy theory and operads.

# Table of Contents

## Women in Topology: Collaborations in Homotopy Theory

- Cover Cover11 free
- Title page i2 free
- Contents iii4 free
- Preface v6 free
- Representations of Derived 𝐴-infinity Algebras 112 free
- Unbased Calculus for Functors to Chain Complexes 2940
- Left-Induced Model Structures and Diagram Categories 4960
- Fixed Points of 𝑝-Toral Groups Acting on Partition Complexes 8394
- On the Higher Topological Hochschild Homology of 𝔽_{𝕡} and Commutative 𝔽_{𝕡}-Group Algebras 97108
- 1. Introduction 97108
- 2. Comparing the bar construction and its homology for some basic algebras 99110
- 3. Veen’s spectral sequence and iterated Tors 102113
- 4. Pushing Veen’s bounds 104115
- 5. \THH^{[𝑛]}(\F₂), up to 𝑛=3 and a stable element 108119
- 6. A splitting of \THH^{[𝑛]}(𝐴[𝐺]) for abelian groups 𝐺 110121
- 7. The higher Bökstedt spectral sequence 111122
- 8. Higher Hochschild homology of (truncated) polynomial algebras 113124
- 9. Étale and Galois descent 116127
- 10. Group algebras of finitely generated abelian groups 117128
- Appendix A. Code 119130
- References 121132

- A Model Structure on 𝐺𝒞𝒶𝓉 123134
- Orbispaces and Their Mapping Spaces via Groupoids: A Categorical Approach 135146
- 1. Introduction 135146
- 2. Topological Groupoids and Orbigroupoids 136147
- 3. Homomorphisms and Natural Transformations of Orbigroupoids 143154
- 4. Representing Orbispaces with Orbigroupoids 146157
- 5. Mapping Spaces for Orbigroupoids: Defining \GMap(\calG,\calH) 153164
- 6. Inertia Groupoids and Mapping Groupoids 163174
- 7. Conclusion 165176
- References 166177

- Back Cover Back Cover1178