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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The cell-like mapping problem
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by George Kozlowski and John J. Walsh PDF
Bull. Amer. Math. Soc. 2 (1980), 315-316
References
    [Ar] S. Armentrout, Monotone decompositions of E3, Topology Seminar Wisconsin 1965, Ann. of Math. Studies, vol. 60, Princeton Univ. Press, Princeton, N. J.
  • R. H. Bing, Decompositions of $E^{3}$, Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 5–21. MR 0141088
  • Karol Borsuk, Theory of retracts, Monografie Matematyczne, Tom 44, Państwowe Wydawnictwo Naukowe, Warsaw, 1967. MR 0216473
  • H. G. Bothe, Eine Einbettung $m$-dimensionaler Mengen in einen $(m+1)$-dimensionalen absoluten Retrakt, Fund. Math. 52 (1963), 209–224 (German). MR 151972, DOI 10.4064/fm-52-2-209-224
  • Eldon Dyer, Certain transformations which lower dimension, Ann. of Math. (2) 63 (1956), 15–19. MR 77117, DOI 10.2307/1969988
    • [Ed-1] R. D. Edwards, A theorem and a question related to cohomological dimension and cell-like maps, Notices Amer. Math. Soc. 25 (1978). [Ed-2] R. D. Edwards, Approximating certain cell-like maps by homeomorphisms (preprint).
  • Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
    • [Koz-1] G. Kozlowski, Mapping theorems for homotopy, Ph.D. Thesis, University of Michigan, Ann Arbor, 1968. [Koz-2] G. Kozlowski, Images of ANR’s, Trans. Amer. Math. Soc. (to appear).
  • Richard M. Schori, The cell-like mapping problem and hereditarily infinite-dimensional compacta, Proceedings of the International Conference on Geometric Topology (Warsaw, 1978) PWN, Warsaw, 1980, pp. 381–387. MR 656776
  • K. Sieklucki, A generalization of a theorem of K. Borsuk concerning the dimension of $ANR$-sets, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 433–436. MR 198430
  • Stephen Smale, A Vietoris mapping theorem for homotopy, Proc. Amer. Math. Soc. 8 (1957), 604–610. MR 87106, DOI 10.1090/S0002-9939-1957-0087106-9
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 2 (1980), 315-316
  • MSC (1970): Primary 54F45, 57A10; Secondary 54C55, 54A35
  • DOI: https://doi.org/10.1090/S0273-0979-1980-14747-3
  • MathSciNet review: 555270