On weakly additive functionals |
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| Author |
root@im.tashkent.su
Institute of Mathematics of Uzbekistan Academy of Sciences, 29, F. Hodjaev street, Tashkent, 700143, Uzbekistan
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| Abstract |
The functor $O$ of order-preserving functionals extended to the category Tych.
The main result (Theorem 2) states
that this new functor $O_\beta$ preserves weight of Tychonoff spaces.
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| Keywords |
order-preserving functionals, category Tych, Tychonoff spaces
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| DOI |
doi:10.30970/ms.18.2.179-186
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Reference |
1. Radul T. On the functor of order-preserving functionals, Comment. Math. Univ. Carol. 39 (1998), no. 3, 609–615.
2. Shchepin E. V. Functors and uncountable powers of compacta Uspekhi Mat. Nauk. 36 (1981), № 3, 3–62. 3. Shapirowski B. E. On $\pi$-character and $\pi$-weight in bicompakta Dokl. Akad. Nauk SSSR. 223 (1975), № 4, 799--802. 4. Alexandroff P., Urysohn P. Memoire sur les espaces topologique compacts. Verh. Akad. Wetehsh. Amsterdam. 14 (1929). 5. Chigogidze A. Ch. On extension of normal functors, Vestnik Mosk. Univ. Ser. I. (1984), № 6, 23–26. 6. Beshimov R. B. Covariant functors and weak separability, Doklady Uzbek. Akad. Nauk. (1994), № 7, 9–11. 7. Beshimov R. B. On a weak density of topological spaces, Doklady Uzbek. Akad. Nauk. (2000), № 11, 10–13. 8. van Douwen E. K. Density of compactifications. Set theoretic topology. Academic Press, (1977), 97–110. 9. Beshimov R. B. On some properties of weak separable spaces, Uzbek. Math. Journ. (1994), № 1, 7–11. |
| Pages |
179-186
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| Volume |
18
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| Issue |
2
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| Year |
2002
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| Journal |
Matematychni Studii
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| Full text of paper | |
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