Euler's Theorem for Regular CW-Complexes

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.

15 pages, 3 figures, to appear in Combinatorica, 2024