Every k-separable Čech-complete space is subcompact

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

Volumn 109, Issue 1, 2015, Pages 65-71

  van Mill, Jan ^a   Tkachuk, Vladimir V ^b  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

^b UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

Author keywords

Countable tightness; Dyadic compact space; k separable space; Separable space; Subcompact space; ech complete space

Indexed keywords

COUNTABLE SET; COUNTABLE TIGHTNESS; DENSE SUBSPACE; DYADIC COMPACT SPACE; K-SEPARABLE SPACE; SEPARABLE SPACE; SIMPLE++; SUBCOMPACT SPACE; ČECH-COMPLETE SPACE;

EID: 84923651735     PISSN: 15787303     EISSN: 15791505     Source Type: Journal    
DOI: 10.1007/s13398-014-0166-6     Document Type: Article

References (10)

1. Aarts, J.M., Lutzer, D.J.: Completeness properties designed for recognizing Baire spaces. Diss. Math. 116, 1–48 (1974)
2. Bennett, H., Lutzer, D.: Strong completeness properties in topology. Question Answ. Gen. Topol. 27, 107–124 (2009)
3. Efimov, B.A.: Dyadic bicompacta. Trans. Moscow Math. Soc. 14, 229–267 (1965)
4. Engelking, R.: General Topology. PWN, Warszawa (1977)
5. Fleissner, W., Tkachuk, V.V., Yengulalp, L.: Every scattered space is subcompact. Topol. Appl. 160, 1305–1312 (2013)
6. de Groot, J.: Subcompactness and the Baire Category Theorem. Indag. Math. 22, 761–767 (1963)
7. Hodel R.E.: Cardinal functions I, Handbook of set-theoretic topology. In: Kunen K., Vaughan J.E. (ed.), North Holland, Amsterdam, pp. 1–61, (1984)
8. Oxtoby, J.: Cartesian products of Baire spaces. Fund. Math. 49, 157–166 (1961)
9. Tkačenko, M.G.: Factorization theorems for topological groups and their applications. Topol. Appl. 38, 21–37 (1991)
10. Uspenskij, V.V.: On continuous images of Lindelöf topological groups. Soviet Math. Dokl. 32, 802–806 (1985)