On unions of $\nu$-embedded sets
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- by Hidenori Tanaka PDF
- Proc. Amer. Math. Soc. 79 (1980), 474-476 Request permission
Abstract:
Let A be a realcompact and C-embedded subspace of a space X and let B be a v-embedded subspace of a space X. Then $A \cup B$ is v-embedded in X.References
- Robert L. Blair, On $\upsilon$-embedded sets in topological spaces, TOPO 72—general topology and its applications (Proc. Second Pittsburgh Internat. Conf., Pittsburgh, Pa., 1972; dedicated to the memory of Johannes H. de Groot), Lecture Notes in Math., Vol. 378, Springer, Berlin, 1974., pp. 46–79. MR 0358677
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
- Akio Kato, Union of realcompact spaces and Lindelöf spaces, Canadian J. Math. 31 (1979), no. 6, 1247–1268. MR 553159, DOI 10.4153/CJM-1979-104-8
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 474-476
- MSC: Primary 54C45; Secondary 54D60
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567996-6
- MathSciNet review: 567996