单纯复形的 Steenrod 余代数
代数拓扑
2015-03-10 v9
摘要
在本文中，我们扩展了早期的工作，表明如果和是单纯复形（即其单纯形由顶点确定的单纯集），那么 Steenrod 余代数（配备额外结构的正规化链复形）的态射会诱导其拓扑实现之间的一个态射。如果是同构，则它诱导和之间的同构，意味着它们是同胚的。
引用
@article{arxiv.1402.3134,
title = {Steenrod coalgebras of simplicial complexes},
author = {Justin R. Smith},
journal= {arXiv preprint arXiv:1402.3134},
year = {2015}
}
备注
17 pages. Since arXiv:1401.3618 is being published in Topology and its Applications, I have replaced all overlapping material with references to that paper. arXiv admin note: text overlap with arXiv:1403.1973