On Souslin sets and embeddings in integer-valued function spaces on ω1

Topology and its Applications

Volumn 82, Issue 1-3, 1998, Pages 71-104

  Chaber, J ^a   Gruenhage, G ^b   Pol, R ^a  

^a UNIVERSITY OF WARSAW   (Poland)

^b AUBURN UNIVERSITY   (United States)

Author keywords

Closed embedding; Left separated; Luzin's constituents; Souslin set; Stone's space; product

Indexed keywords

EID: 0037818972     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(97)00058-8     Document Type: Article

References (14)

1. J. Chaber, G. Gruenhage and R. Pol, On a perfect set theorem of A.H. Stone and N.N. Lusin's constituents, Fund. Math. 148 (1995) 309-318.
2. H.H. Corson, Normality in subsets of product spaces, Amer. J. Math. 81 (1959) 785-796.
3. E.K. van Douwen, A technique for constructing honest locally compact submetrizable examples, Topology Appl. 47 (1992) 179-201.
4. A.G. El'kin, A-sets in complete metric spaces, Dokl. Akad. Nauk SSSR 175 (1967) 517-520.
5. D.H. Fremlin, Consequences of Martin's Axiom (Cambridge Univ. Press, Cambridge, 1984).
6. R.J. Gardner and W.F. Pfeffer, Borel measures, in: K. Kunen and J.E. Vaughan, Handbook of Set-Theoretic Topology (North-Holland, Amsterdam, 1984) 961-1043.
7. 1, Topology Appl. 39 (1991) 263-275.
8. G. Gruenhage and E. Pol, On a construction of perfectly normal spaces and its applications to dimension theory, Fund. Math. 118 (1983) 213-222.
9. R.W. Hansell, Compact perfect sets in weak analytic spaces, Topology Appl. 41 (1991) 65-72.
10. R.W. Hansell, Descriptive topology, in: M. Hušek and J. Van Mill, eds., Recent Progress in General Topology (Elsevier, Amsterdam, 1992) 275-315.
11. V.G. Kanoveǐ, On uncountable sequences of sets determined by sieve operations, Dokl. Akad. Nauk SSSR 257 (1981) 808-812.
12. A.S. Kechris, Classical Descriptive Set Theory (Springer, New York, 1994).
13. N. Kemoto and Y. Yajima, Orthocompactness in infinite product spaces, Proc. Amer. Math. Soc. 120 (1994) 591-596.
14. G. Koumoullis, Topological spaces containing compact perfect sets and Prokhorov spaces, Topology Appl. 21 (1985) 59-71.