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Characterizing $k$-dimensional universal Menger compacta
Author(s):
Mladen
Bestvina
Journal:
Bull. Amer. Math. Soc.
11
(1984),
369-370.
MSC (1980):
Primary 54F20, 57Q99;
Secondary 54F45
MathSciNet review:
752801
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References:
- [An1] 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
- [An2] R. D. Anderson, One-dimensional wntinuous curves and a homogeneity theorem, Ann. of Math. (2) 68 (1958), 1-16. MR 96181
- [Ca] J. W. Cannon, Shrinking cell-like decompositions of manifolds. Codimension three, Ann. of Math. (2) 110 (1979), 83-112. MR 541330
- [Ed] R. D. Edwards, The topology of manifolds and cell-like maps, Proc. Internat. Congress Math. (Helsinki, 1978), Acad. Sci. Fennica, 1980, pp. 111-127. MR 562601
- [Lf] S. Lefschetz, On compact spaces, Ann. of Math. (2) 32 (1931), 521-538. MR 1503014
- [Mg] K. Menger, Kurventheorie, Teubner, Leipzig, 1932.
- [Pa] B. A. Pasynkov, Partial topological products, Trans. Moscow Math. Soc. 13 (1965), 153-271. MR 198414
- [Qu] F. Quinn, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983), 267-284. MR 700771
- [To] H. Toruńczyk, On CE-images of the Hilbert cube and characterization of Q-manifolds, Fund. Math. 106 (1980), 31-40. MR 585543
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15313-8
PII:
S 0273-0979(1984)15313-8
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