Presentation of homotopy types under a space
Algebraic Topology
2010-05-27 v1
Abstract
We compare the structure of a mapping cone in the category Top^D of spaces under a space D with differentials in algebraic models like crossed complexes and quadratic complexes. Several subcategories of Top^D are identified with algebraic categories. As an application we show that there are exactly 16 essential self--maps of S^2 x S^2 fixing the diagonal.
Cite
@article{arxiv.1005.4810,
title = {Presentation of homotopy types under a space},
author = {Hans-Joachim Baues and Beatrice Bleile},
journal= {arXiv preprint arXiv:1005.4810},
year = {2010}
}
Comments
21 pages