Euler's Theorem for Regular CW-Complexes
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910284704120832 |
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| author | Hammack, Richard H. Kainen, Paul C. |
| author_facet | Hammack, Richard H. Kainen, Paul C. |
| contents | For strongly connected, pure $n$-dimensional regular CW-complexes, we show that {\it evenness} (each $(n{-}1)$-cell is contained in an even number of $n$-cells) is equivalent to generalizations of both cycle decomposition and traversability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00084 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Euler's Theorem for Regular CW-Complexes Hammack, Richard H. Kainen, Paul C. Geometric Topology 57Q35, 57P99, 05C45 For strongly connected, pure $n$-dimensional regular CW-complexes, we show that {\it evenness} (each $(n{-}1)$-cell is contained in an even number of $n$-cells) is equivalent to generalizations of both cycle decomposition and traversability. |
| title | Euler's Theorem for Regular CW-Complexes |
| topic | Geometric Topology 57Q35, 57P99, 05C45 |
| url | https://arxiv.org/abs/2401.00084 |