Euler's Theorem for Regular CW-Complexes

Published 29 Dec 2023 in math.GT | (2401.00084v1)

Abstract: 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.

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