Every zero-dimensional space is cell soluble
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- by Toshiji Terada PDF
- Proc. Amer. Math. Soc. 110 (1990), 569-571 Request permission
Abstract:
In his study of the question of representing a space as a retract of a homogeneous space, Arhangel’skii introduced an interesting topological property called cell solubility. He raised the following problem: Is every zero-dimensional compact space cell soluble? We will give an affirmative answer to this problem.References
- A. V. Arkhangel′skiĭ, Cell structures and homogeneity, Mat. Zametki 37 (1985), no. 4, 580–586, 602 (Russian). MR 790982
- A. V. Arkhangel′skiĭ, Topological homogeneity. Topological groups and their continuous images, Uspekhi Mat. Nauk 42 (1987), no. 2(254), 69–105, 287 (Russian). MR 898622
- Eric K. van Douwen, Nonhomogeneity of products of preimages and $\pi$-weight, Proc. Amer. Math. Soc. 69 (1978), no. 1, 183–192. MR 644652, DOI 10.1090/S0002-9939-1978-0644652-8
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 569-571
- MSC: Primary 54C99; Secondary 54F45
- DOI: https://doi.org/10.1090/S0002-9939-1990-1021906-2
- MathSciNet review: 1021906