On all kinds of homogeneous spaces
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- by Gerald S. Ungar PDF
- Trans. Amer. Math. Soc. 212 (1975), 393-400 Request permission
Abstract:
Several open questions on homogeneous spaces are answered. A few of the results are: (1) An n-homogeneous metric continuum, which is not the circle, is strongly n-homogeneous. (2) A 2-homogeneous metric continuum is locally connected. (3) If X is a homogeneous compact metric space or a homogeneous locally compact, locally connected separable metric space, then X is a coset space. (4) If G is a complete separable metric topological group with is n-connected, then G is locally n-connected.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 212 (1975), 393-400
- MSC: Primary 54H99; Secondary 54H15
- DOI: https://doi.org/10.1090/S0002-9947-1975-0385825-3
- MathSciNet review: 0385825