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Preprint
Steenrod coalgebras of simplicial complexes
arXiv.org
07 Mar 2015
Abstract
In this paper, we extend earlier work by showing that if $X$ and $Y$ are
simplicial complexes (i.e. simplicial sets whose simplices are determined by
their vertices), a morphism $g:N(X)\to N(Y)$ of Steenrod coalgebras (normalized
chain-complexes equipped with extra structure) induces one of their topological
realizations $\hat{g}:|X|\to |Y|$. If $g$ is an isomorphism, then it induces an
isomorphism between $X$ and $Y$, implying that they are homeomorphic.
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Details
- Title
- Steenrod coalgebras of simplicial complexes
- Creators
- Justin R Smith
- Publication Details
- arXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- [Retired Faculty]
- Other Identifier
- 991021880197804721