Spaces which contain a copy of the rationals

Katsuya EDA; Shizuo KAMO; Tsugunori NOGURA

doi:10.2969/jmsj/04210103

Katsuya EDA, Shizuo KAMO, Tsugunori NOGURA

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 1 Pages 103-112

DOI https://doi.org/10.2969/jmsj/04210103

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Published: 1990 Received: August 08, 1988 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Yukihiro Kodama on his 60-th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Institute of Mathematics University of Tsukuba
2) Department of Mathematics University of Osaka
3) Department of Mathematics Faculty of Science Ehime University

Right :
1) Institute of Mathematics University of Tsukuba
2) Department of Mathematics University of Osaka Prefecture
3) Department of Mathematics Faculty of Science Ehime University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. V. Arhangel'skii and S. P. Franklin, Ordinal invariants for topological spaces, Michigan Math. J., 15 (1968), 313-320.
2) E. K. van Douwen, The integers and topology, in Handbook of Set-Theoretic Topology, ed. by K. Kunen, et al., North-Holland, Amsterdam, 1984, pp. 117-167.
3) E. K. van Douwen and T. C. Przymusinski, First countable, and countable spaces all compactiflcation of which contain βN, Fund. Math., 102 (1979), 229-234.
4) S. H. Hechler, Exponents of some N-compact spaces, Israel J. Math., 15 (1973), 384-395.
5) N. Lašnev, Continuous decompositions and closed mappings of metric spaces, Soviet Math. Dokl., 165 (1965), 1504-1506.
6) V.I. Malyhin, βN is prime, Bull. Acad. Polon. Sci., 27 (1979), 295-297.
7) J. van Mill, An introduction to βω, in Handbook of Set-theoretic Topology, ed. by K. Kunen, et al., North-Holland, Amsterdam, 1984, pp. 503-567.
8) T. Nogura and Y. Tanaka, Spaces which contain a copy of S_ω or S₂, and their applications, Topology Appl., to appear.

Right : [1] A. V. Arhangel'skii and S. P. Franklin, Ordinal invariants for topological spaces, Michigan Math. J., 15 (1968), 313-320.
[2] E. K. van Douwen, The integers and topology, in Handbook of Set-Theoretic Topology, ed. by K. Kunen, et al., North-Holland, Amsterdam, 1984, pp. 117-167.
[3] E. K. van Douwen and T. C. Przymusinski, First countable, and countable spaces all compactification of which contain βN, Fund. Math., 102 (1979), 229-234.
[4] S. H. Hechler, Exponents of some N-compact spaces, Israel J. Math., 15 (1973), 384-395.
[5] N. Lašnev, Continuous decompositions and closed mappings of metric spaces, Soviet Math. Dokl., 165 (1965), 1504-1506.
[6] V. I. Malyhin, βN is prime, Bull. Acad. Polon. Sci., 27 (1979), 295-297.
[7] J. van Mill, An introduction to βω, in Handbook of Set-theoretic Topology, ed. by K. Kunen, et al., North-Holland, Amsterdam, 1984, pp. 503-567.
[8] T. Nogura and Y. Tanaka, Spaces which contain a copy of S_ω or S₂, and their applications, Topology Appl., to appear.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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