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On the notion of $ n$-cardinality

Author: Teodor C. Przymusiński
Journal: Proc. Amer. Math. Soc. 69 (1978), 333-338
MSC: Primary 04A05; Secondary 54A25, 54E35
MathSciNet review: 0491191
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Abstract: In this paper we introduce and investigate the notion of n-cardinality, which turned out to be useful in constructions involving product spaces and has a number of interesting applications.

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  • [A] A. V. Arhangel′skiĭ, The power of bicompacta with first axiom of countability, Dokl. Akad. Nauk SSSR 187 (1969), 967–970 (Russian). MR 0251695
  • [vD] Eric K. van Douwen, A technique for constructing honest locally compact submetrizable examples, Topology Appl. 47 (1992), no. 3, 179–201. MR 1192308, 10.1016/0166-8641(92)90029-Y
  • [E] 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
  • [K] K. Kuratowski, Topology. Vol. I, New edition, revised and augmented. Translated from the French by J. Jaworowski, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe, Warsaw, 1966. MR 0217751
  • [K$ _{1}$] K. Kuratowski, Applications of the Baire-category method to the problem of independent sets, Fund. Math. 81 (1973), no. 1, 65–72. Collection of articles dedicated to Andrzej Mostowski on the occasion of his sixtieth birthday, I. MR 0339092
  • [P] Teodor C. Przymusiński, Normality and paracompactness in finite and countable Cartesian products, Fund. Math. 105 (1979/80), no. 2, 87–104. MR 561584
  • [P$ _{1}$] -, On the dimension of product spaces and an example of M. Wage (to appear).
  • [P$ _{2}$] Teodor C. Przymusiński, Products of perfectly normal spaces, Fund. Math. 108 (1980), no. 2, 129–136. MR 594312
  • [P$ _{3}$] Teodor C. Przymusiński, Topological properties of product spaces and the notion of 𝑛-cardinality, Proceedings of the 1977 Topology Conference (Louisiana State Univ., Baton Rouge, La., 1977), I, 1977, pp. 233–241 (1978). MR 540608

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Article copyright: © Copyright 1978 American Mathematical Society