Cardinal invariants in remainders and variations of tightness
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- 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.
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