Dimensions of topological groups containing the bouquet of two circles

Kimura, Takashi

doi:10.1090/S0002-9939-1992-1079892-7

Dimensions of topological groups containing the bouquet of two circles

Author: Takashi Kimura
Journal: Proc. Amer. Math. Soc. 114 (1992), 1109-1113
MSC: Primary 54F45; Secondary 22A05, 54C25
DOI: https://doi.org/10.1090/S0002-9939-1992-1079892-7
MathSciNet review: 1079892
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Abstract: In this paper we prove the following: If a topological group contains the bouquet ${S^1} \vee {S^1}$ , then $G \geq 2$ holds. This is a counterexample to a question of Bel'nov in the one-dimensional case.

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