A note on remainders of compact extensions
Abstract
The paper contains a construction of a Tychonoff space X such that for every compact extension bX the subset bX-X contains a non-empty 𝓖δ-set G such that Int G = ⌀.
References
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2. W.W. Comfort, S. Negrepontis, The theory of ultrafilters, Springer-Verlag, Berlin 1974.
3. R. Engelking, General topology, PWN, Warszawa 1977.
4. N.J. Fine, L. Gillman, Extensions of continuous functions, Bull. Amer. Math. Soc. 66 (1960), 376-381.
5. L. Gillman, M. Jerison, Rings of continuous functions, Springer-Verlag, Berlin 1976.
6. D. Plank, On a class of subalgebras of C(X) with applications to βX-X, Fund. Math. 64 (1969), 41-54.
7. A.I. Veksler, P'-points, P'-sets, P'-spaces. A new class of order-continuous measures and functionals, Dokl. Akad. Nauk. SSSR 212 (1973), 789-792.
BłaszczykA. (1986). A note on remainders of compact extensions. Annales Mathematicae Silesianae, 2, 96-97. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14329
Aleksander Błaszczyk
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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