Theory of Compact Hausdorff Shape
Algebraic Topology
2018-01-30 v2
Abstract
In this paper, we aim to establish a new shape theory, compact Hausdorff shape (CH-shape) for general Hausdorff spaces. We use the "internal" method and direct system approach on the homotopy category of compact Hausdorff spaces. Such a construction can preserve most good properties of H-shape given by Rubin and Sanders. Most importantly, we can moreover develop the entire homology theory for CH-shape, including the exactness, dual to the consequence of Marde\v{s}i\'c and Segal.
Cite
@article{arxiv.1708.07346,
title = {Theory of Compact Hausdorff Shape},
author = {Jintao Wang},
journal= {arXiv preprint arXiv:1708.07346},
year = {2018}
}
Comments
21 pages