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 2020 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.

 

Cardinal invariants in remainders and variations of tightness
HTML articles powered by AMS MathViewer

by A. V. Arhangel′skii and A. Bella PDF
Proc. Amer. Math. Soc. 119 (1993), 947-954 Request permission

Abstract:

In this paper certain invariants related to the tightness are considered. Particular attention is given to the set tightness. Relations between properties of remainders and compactifications of a metrizable space are also investigated.
References
  • A. V. Arhangel′skiĭ, The structure and classification of topological spaces and cardinal invariants, Uspekhi Mat. Nauk 33 (1978), no. 6(204), 29–84, 272 (Russian). MR 526012
  • A. V. Arhangel′skii, A. Bella, and F. Cammaroto, Weak monolithicity, pseudoradial and weakly radial spaces, Boll. Un. Mat. Ital. A (7) 5 (1991), no. 3, 339–344 (English, with Italian summary). MR 1138547
  • A. V. Arhangel′skiĭ, R. Isler, and G. Tironi, On pseudoradial spaces, Comment. Math. Univ. Carolin. 27 (1986), no. 1, 137–154. MR 843426
  • Angelo Bella, Free sequences in pseudoradial spaces, Comment. Math. Univ. Carolin. 27 (1986), no. 1, 163–170. MR 843428
  • A. Bella, On set tightness and $T$-tightness, Comment. Math. Univ. Carolin. 27 (1986), no. 4, 805–814. MR 874674
  • Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
  • I. Juhász, Variations on tightness, Studia Sci. Math. Hungar. 24 (1989), no. 2-3, 179–186. MR 1051147
  • I. Juhàsz and Z. Szentmiklossy, Converging free sequences in compact spaces, preprint. V. I. Malychin and B. E. Shapirovski, Martin’s axiom and properties of topological spaces, Soviet Math. Dokl. 14 (1973), 1746-1751.
  • E. Michael, A note on closed maps and compact sets, Israel J. Math. 2 (1964), 173–176. MR 177396, DOI 10.1007/BF02759940
  • D. V. Ranchin, Tightness, sequentiality and closed coverings, Soviet Math. Dokl. 18 (1977), 196-200.
Similar Articles
Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 119 (1993), 947-954
  • MSC: Primary 54A25; Secondary 54D35, 54D40, 54E35
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1185277-6
  • MathSciNet review: 1185277