Semigroups on finitely floored spaces

McCharen, John D.

doi:10.1090/S0002-9947-1971-0274641-5

Semigroups on finitely floored spaces
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by John D. McCharen

Trans. Amer. Math. Soc. 156 (1971), 85-89

DOI: https://doi.org/10.1090/S0002-9947-1971-0274641-5

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Abstract:

This paper is concerned with certain aspects of acyclicity in a compact connected topological semigroup, and applications to the admissibility of certain multiplications on continua. The principal result asserts that if S is a semigroup on a continuum, finitely floored in dimension 2, then $S = ESE$ implies $S = K$.

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