On the cardinality of the manifold set
Geometric Topology
2018-01-19 v2 Algebraic Topology
Abstract
We study the cardinality of the set of manifolds homotopy equivalent to a given manifold M and compare it to the cardinality of the structure set of M.
Cite
@article{arxiv.1708.02089,
title = {On the cardinality of the manifold set},
author = {Diarmuid Crowley and Tibor Macko},
journal= {arXiv preprint arXiv:1708.02089},
year = {2018}
}
Comments
23 pages. Added smooth versions of the main theorems. Improved exposition. Corrected the mistake from the first version in definition of r_k in section 3, current display (3.2), where we omitted factor t