Homogeneous continua in Euclidean $(n+1)$-space which contain an $n$-cube are locally connected
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- by Janusz R. Prajs PDF
- Trans. Amer. Math. Soc. 307 (1988), 383-394 Request permission
Abstract:
We prove that each homogeneous continuum which topologically contains an $n$-dimensional unit cube and lies in $(n + 1)$-dimensional Euclidean space is locally connected.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 307 (1988), 383-394
- MSC: Primary 54F25; Secondary 54C25, 57N35
- DOI: https://doi.org/10.1090/S0002-9947-1988-0936823-9
- MathSciNet review: 936823