Fréchet property in compact spaces is not preserved by M-equivalence

Commentationes Mathematicae Universitatis Carolinae

Volumn 46, Issue 4, 2005, Pages 747-749

  Okunev, Oleg ^a  

^a CiudUniv   (Mexico)

Author keywords

Fr chet property; L equivalence; M equivalence

Indexed keywords

EID: 34249899074     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Arhangel'skii A.V., On linear homeomorphisms of function spaces, Soviet Math. Dok-lady 25 (1982), 852-855
2. Arhangel'skii A.V., Problems in Cp-theory, Open Problems in Topology (J. van Mill and G.M. Reed, eds.), North-Holland, Amsterdam, 1990, pp. 601-615
3. Arhangel'skii A.V., Topological Function Spaces, Kluwer Acad. Publ., Dordrecht, 1992
4. Engelking R., General Topology, PWN, Warszawa, 1976
5. Markov A.A., On free topological groups, Izv. Akad. Nauk SSSR Ser. Mat (1) (1945) (Russian); English transl.: Amer. Math. Soc. Transl. (1) 8 (1962)
6. Okunev O., A method for constructing examples of M-equivalent spaces, Topology Appl. 36 (1990), 157-171; Correction, Topology Appl. 49 (1993), 191-192
7. Okunev O., Tightness of compact spaces is preserved by the t-equivalence relation, Comment. Mat. Univ. Carolinae 43 (2002), no. 2, 335-342
8. Simon P., A compact Fréchet space whose square is not Fréchet, Comment. Math. Univ. Carolinae 21 (1980), 749-753
9. Tkachuk V.V., Duality with respect to the functor Cp and cardinal invariants of the type of the Souslin number, Math. Notes 37 (1985), no. 3-4, 247-252