Contractible n-Manifolds and the Double n-Space Property
Geometric Topology
2015-02-12 v1
Abstract
We are interested in contractible n-manifolds M which "split" as M = A union B where A,B, and A intersect B are all homeomorphic to Euclidean n-space (such M are called open n-splitters) or A,B, and A intersect B are all homeomorphic to the n-dimensional unit ball (such M are called closed n-splitters). We introduce a closed 4-splitter M from which we construct an infinite collection of distinct closed 4-splitters and an uncountable set of open 4-splitters.
Keywords
Cite
@article{arxiv.1502.03154,
title = {Contractible n-Manifolds and the Double n-Space Property},
author = {Pete Sparks},
journal= {arXiv preprint arXiv:1502.03154},
year = {2015}
}
Comments
61 pages, 36 figures. This is my PhD thesis. A more concise version is being prepared for publication