Characterizing $k$-dimensional universal Menger compacta
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- Bull. Amer. Math. Soc. 11 (1984), 369-370
References
- R. D. Anderson, A characterization of the universal curve and a proof of its homogeneity, Ann. of Math. (2) 67 (1958), 313–324. MR 96180, DOI 10.2307/1970007
- R. D. Anderson, One-dimensional continuous curves and a homogeneity theorem, Ann. of Math. (2) 68 (1958), 1–16. MR 96181, DOI 10.2307/1970040
- J. W. Cannon, Shrinking cell-like decompositions of manifolds. Codimension three, Ann. of Math. (2) 110 (1979), no. 1, 83–112. MR 541330, DOI 10.2307/1971245
- Robert D. Edwards, The topology of manifolds and cell-like maps, Proceedings of the International Congress of Mathematicians (Helsinki, 1978) Acad. Sci. Fennica, Helsinki, 1980, pp. 111–127. MR 562601
- Solomon Lefschetz, On compact spaces, Ann. of Math. (2) 32 (1931), no. 3, 521–538. MR 1503014, DOI 10.2307/1968249 [Mg] K. Menger, Kurventheorie, Teubner, Leipzig, 1932.
- B. A. Pasynkov, Partial topological products, Trudy Moskov. Mat. Obšč. 13 (1965), 136–245 (Russian). MR 0198414
- Frank Quinn, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983), no. 2, 267–284. MR 700771, DOI 10.1007/BF01389323
- H. Toruńczyk, On $\textrm {CE}$-images of the Hilbert cube and characterization of $Q$-manifolds, Fund. Math. 106 (1980), no. 1, 31–40. MR 585543, DOI 10.4064/fm-106-1-31-40
Additional Information
- Journal: Bull. Amer. Math. Soc. 11 (1984), 369-370
- MSC (1980): Primary 54F20, 57Q99; Secondary 54F45
- DOI: https://doi.org/10.1090/S0273-0979-1984-15313-8
- MathSciNet review: 752801