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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Perfect images of Čech-analytic spaces
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by R. W. Hansell and Shiho Pan PDF
Proc. Amer. Math. Soc. 123 (1995), 293-298 Request permission


A completely regular Hausdorff space X is Čech-analytic if X is the result of the Souslin operation applied to the locally compact sets in some (equivalently, any) compactification. We prove that Čech-analytic spaces are preserved under general perfect maps, thus settling a question raised by the late Z. Frolík.
  • Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
  • D. Fremlin, Čech-analytic space, unpublished note, 1980. —, Perfect maps from Čech-analytic spaces, unpublished note, 1983. Z. Frolík, Čech-analytic space, Comment. Math. Carolin. 25 (1984), 368-370.
  • Zdeněk Frolík, Refinements of perfect maps onto metric spaces and an application to Čech-analytic spaces, Topology Appl. 33 (1989), no. 1, 77–84. MR 1020984, DOI 10.1016/0166-8641(89)90089-8
  • R. W. Hansell, On characterizing non-separable analytic and extended Borel sets as types of continuous images, Proc. London Math. Soc. (3) 28 (1974), 683–699. MR 362269, DOI 10.1112/plms/s3-28.4.683
  • —, Descriptive topology, Recent Progress in General Topology, Elsevier, New York and Oxford, 1992.
  • Michel Talagrand, Choquet simplexes whose set of extreme points is ${\scr K}$-analytic, Ann. Inst. Fourier (Grenoble) 35 (1985), no. 3, 195–206. MR 810673, DOI 10.5802/aif.1024
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 293-298
  • MSC: Primary 54H05; Secondary 54C10
  • DOI:
  • MathSciNet review: 1216814