A short proof of Kowalsky’s hedgehog theorem
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- by Mary Anne Swardson PDF
- Proc. Amer. Math. Soc. 75 (1979), 188 Request permission
Abstract:
We give a simple proof of Kowalsky’s theorem that every metrizable space of weight $\mathfrak {m}$ is embeddable in a countable product of hedgehogs with $\mathfrak {m}$ spines.References
- Hans-Joachim Kowalsky, Einbettung metrischer Räume, Arch. Math. (Basel) 8 (1957), 336–339 (German). MR 91451, DOI 10.1007/BF01900142
- Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 188
- MSC: Primary 54C25; Secondary 54A25
- DOI: https://doi.org/10.1090/S0002-9939-1979-0529240-7
- MathSciNet review: 529240