Extending families of disjoint zero sets

Author:
C. E. Aull

Journal:
Proc. Amer. Math. Soc. **89** (1983), 510-514

MSC:
Primary 54C50; Secondary 54C45, 54D60, 54G05, 54G10

DOI:
https://doi.org/10.1090/S0002-9939-1983-0715876-8

MathSciNet review:
715876

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Abstract: The -cellularity of a space is defined as

**[1]**C. E. Aull,*Extendability and expandability*(submitted for publication).**[2]**R. L. Blair,*Spaces in which special sets are**-embedded*, Canad. J. Math.**28**(1976), 673-690. MR**0420542 (54:8556)****[3]**R. L. Blair and A. W. Hager,*Extensions of zero-sets and of real-valued functions*, Math. Z.**136**(1974), 41-52. MR**0385793 (52:6652)****[4]**R. Engelking,*Cartesian products and dyadic spaces*, Fund. Math.**57**(1965), 287-306. MR**0196692 (33:4879)****[5]**-,*General topology*, PWN, Warsaw, 1977.**[6]**L. Gillman and M. Jerison,*Rings of continuous functions*, Van Nostrand, Princeton, N. J., 1966. MR**0116199 (22:6994)****[7]**T. Isiwata,*Mappings and spaces*, Pacific J. Math.**20**(1967), 455-480. MR**0219044 (36:2127)****[8]**I. Juhasz,*Cardinal functions in topology*, Math. Centre Tracts, No. 34, Mathematisch Centrum, Amsterdam, 1971. MR**0340021 (49:4778)****[9]**R. Pol,*Short proofs of two theorems of cardinality of topological spaces*, Bull. Acad. Polon. Sci. Sér. Math.**22**(1974), 1245-1249. MR**0383333 (52:4214)****[10]**M. Wage,*Extremally disconnected**-spaces*, Topology Proc. (Conf. Auburn Univ. Auburn, Ala, 1976), Math. Dept., Auburn Univ., Auburn, 1977, pp. 181-186. MR**0458392 (56:16595)****[11]**R. G. Woods,*Absolutes of topological spaces*, Math. Centre Tracts, No. 116, Mathematisch Centrum, Amsterdam, 1979, pp. 323-362. MR**565852 (81d:54019)**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1983-0715876-8

Article copyright:
© Copyright 1983
American Mathematical Society