Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



Perfectly normal compact spaces are continuous images of $ \beta \mathbf{N}_{\mathbf{N}}$

Author: Teodor C. Przymusiński
Journal: Proc. Amer. Math. Soc. 86 (1982), 541-544
MSC: Primary 54C05; Secondary 54D40
MathSciNet review: 671232
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Every perfectly normal compact space is a continuous image of $ {N^ * } = \beta N\backslash N$.

References [Enhancements On Off] (What's this?)

  • [BS] A. Błaszczyk and A. Szymański, Concerning Parovičenko's theorem, Bull. Polon. Acad. Sci. (to appear).
  • [vDP] Eric K. van Douwen and Teodor C. Przymusiński, Separable extensions of first countable spaces, Fund. Math. 105 (1979/80), no. 2, 147–158. MR 561588
  • [E] Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna. Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
    Ryszard Engelking, General topology, PWN—Polish Scientific Publishers, Warsaw, 1977. Translated from the Polish by the author; Monografie Matematyczne, Tom 60. [Mathematical Monographs, Vol. 60]. MR 0500780
  • [FG] R. Frankiewicz and A. Gutek, Some remarks on embeddings of Boolean algebras and topological spaces, Bull. Polon. Acad. Sci. (to appear).
  • [GJ] Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199
  • [P] I. I. Parovičenko, On a universal bicompactum of weight ℵ, Dokl. Akad. Nauk SSSR 150 (1963), 36–39. MR 0150732
  • [Š] B. Šapirovskiĭ, Canonical sets and character. Density and weight in bicompacta, Dokl. Akad. Nauk SSSR 218 (1974), 58–61 (Russian). MR 0383332

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C05, 54D40

Retrieve articles in all journals with MSC: 54C05, 54D40

Additional Information

Article copyright: © Copyright 1982 American Mathematical Society