Stratified and unstratified bordism of pseudomanifolds
Geometric Topology
2018-12-31 v4 Algebraic Topology
Abstract
We study bordism groups and bordism homology theories based on pseudomanifolds and stratified pseudomanifolds. The main seam of the paper demonstrates that when we uses classes of spaces determined by local link properties, the stratified and unstratified bordism theories are identical; this includes the known examples of pseudomanifold bordism theories, such as bordism of Witt spaces and IP spaces. Along the way, we relate the stratified and unstratified points of view for describing various (stratified) pseudomanifold classes.
Keywords
Cite
@article{arxiv.1311.2633,
title = {Stratified and unstratified bordism of pseudomanifolds},
author = {Greg Friedman},
journal= {arXiv preprint arXiv:1311.2633},
year = {2018}
}
Comments
53 pages, 6 figures; various edits and updates, including streamlining by focusing primarily on oriented bordism