Antipodal coincidence sets and stronger forms of connectedness

DOI10.1017/S0004972700004743zbMath0579.54013MaRDI QIDQ3702131

Jørgen E. Harmse

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Borsuk-Ulam type results\(\alpha \) -connectedness\(\alpha \) -path connectednessantipodal coincidence set

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Connected and locally connected spaces (general aspects) (54D05)

Cites Work

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• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
• A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
• On some separation and mapping theorems
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