Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Universal spaces for locally finite-dimensional Tychonoff spaces
HTML articles powered by AMS MathViewer

by M. G. Charalambous
Proc. Amer. Math. Soc. 106 (1989), 507-514
DOI: https://doi.org/10.1090/S0002-9939-1989-0937845-0
PDF | Request permission

Abstract:

We prove that the class of all locally finite-dimensional Tychonoff spaces and other related classes have universal elements.
References
    A. Arhangel’ skiĭ, Factorization of mappings according to weight and dimension, Soviet Math. Dokl. 8 (1967), 731-734.
  • M. G. Charalambous, A new covering dimension function for uniform spaces. 2, J. London Math. Soc. (2) 11 (1975), no. part, 137–143. MR 375258, DOI 10.1112/jlms/s2-11.2.137
    • —, Further theory and applications of covering dimension of uniform spaces (to appear).
  • C. H. Dowker, Local dimension of normal spaces, Quart. J. Math. Oxford Ser. (2) 6 (1955), 101–120. MR 86286, DOI 10.1093/qmath/6.1.101
  • Ryszard Engelking, Topologia ogólna, Biblioteka Matematyczna [Mathematics Library], vol. 47, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1975 (Polish). MR 0500779
  • Ryszard Engelking, Teoria wymiaru, Biblioteka Matematyczna, Tom 51. [Mathematics Library, Vol. 51], Państwowe Wydawnictwo Naukowe, Warsaw, 1977 (Polish). MR 0482696
  • Leonid Luxemburg, On universal metric locally finite-dimensional spaces, General Topology Appl. 10 (1979), no. 3, 283–290. MR 546101, DOI 10.1016/0016-660x(79)90040-0
    • B. A. Pasynkov, On universal bicompacta of a given weight and dimension, Soviet Math. Dokl. 5 (1964), 245-246. —, A factorization theorem for non-closed sets, Soviet Math. Dokl. 13 (1972), 292-295.
  • B. A. Pasynkov, Factorization theorems in dimension theory, Uspekhi Mat. Nauk 36 (1981), no. 3(219), 147–175, 256 (Russian). MR 622723
  • B. A. Pasynkov, On dimension theory, Aspects of topology, London Math. Soc. Lecture Note Ser., vol. 93, Cambridge Univ. Press, Cambridge, 1985, pp. 227–250. MR 787831
  • A. R. Pears, Dimension theory of general spaces, Cambridge University Press, Cambridge, England-New York-Melbourne, 1975. MR 0394604
  • B. R. Wenner, A universal separable metric locally finite-dimensional space, Fund. Math. 80 (1973), no. 3, 283–286. MR 341444, DOI 10.4064/fm-80-3-283-286
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54F45
  • Retrieve articles in all journals with MSC: 54F45
Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 507-514
  • MSC: Primary 54F45
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0937845-0
  • MathSciNet review: 937845