Homology, Homotopy and Applications

Volume 7 (2005)

Number 2

Proceedings of a Special Session of a Joint RSME-AMS Meeting at Sevilla University

Contents

Table of Contents

Introduction

Tom Lada and James Stasheff

pp. 3-3

Chicken or egg? A hierarchy of homotopy algebras

Füsun Akman

pp. 5-39

Transferring TTP-structures via contraction

V. Álvarez, J. A. Armario, M. D. Frau, and P. Real

pp. 41-54

Classification and versal deformations of $L_{\infty}$ algebras on a $2\vert 1$-dimensional space

Derek Bodin, Alice Fialowski, and Michael Penkava

pp. 55-86

A finite dimensional $L_{\infty}$ algebra example in gauge theory

Marilyn Daily and Tom Lada

pp. 87-93

HPT and cocyclic operations

Rocio Gonzalez-Diaz and Pedro Real

pp. 95-108

On the cobar construction of a bialgebra

T. Kadeishvili

pp. 109-122

Free homotopy algebras

Martin Markl

pp. 123-137

Algebraic models for homotopy types

Julio Rubio and Francis Sergeraert

pp. 139-160

The biderivative and $A_{\infty}$-bialgebras

Samson Saneblidze and Ronald Umble

pp. 161-177

Homotopy theories of algebras over operads

V. A. Smirnov

pp. 179-187