Products of CW-complexes
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- by Yoshio Tanaka PDF
- Proc. Amer. Math. Soc. 86 (1982), 503-507 Request permission
Abstract:
We show that Liuβs characterization for the product $K \times L$ to be a ${\text {CW}}$-complex is independent of the usual axioms of set theory.References
- C. H. Dowker, Topology of metric complexes, Amer. J. Math. 74 (1952), 555β577. MR 48020, DOI 10.2307/2372262
- Gary Gruenhage, $k$-spaces and products of closed images of metric spaces, Proc. Amer. Math. Soc. 80 (1980), no.Β 3, 478β482. MR 581009, DOI 10.1090/S0002-9939-1980-0581009-1
- Ying Ming Liu, A necessary and sufficient condition for the producibility of CW-complexes, Acta Math. Sinica 21 (1978), no.Β 2, 171β175 (Chinese, with English summary). MR 507198
- John Milnor, Construction of universal bundles. I, Ann. of Math. (2) 63 (1956), 272β284. MR 77122, DOI 10.2307/1969609
- Yoshio Tanaka, A characterization for the product of closed images of metric spaces to be a $k$-space, Proc. Amer. Math. Soc. 74 (1979), no.Β 1, 166β170. MR 521892, DOI 10.1090/S0002-9939-1979-0521892-0
- Yoshio Tanaka, Products of spaces of countable tightness, Topology Proc. 6 (1981), no.Β 1, 115β133 (1982). MR 650484
- Yoshio Tanaka, Metrizability of certain quotient spaces, Fund. Math. 119 (1983), no.Β 2, 157β168. MR 731817, DOI 10.4064/fm-119-2-157-168
- J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213β245. MR 30759, DOI 10.1090/S0002-9904-1949-09175-9 Zhou Hao-xuan, Weak topology and J. Whiteheadβs problem (preprint).
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 503-507
- MSC: Primary 54E60; Secondary 54A35, 54B10, 57Q05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671225-4
- MathSciNet review: 671225