Automatic continuity of group operations

Topology and its Applications

Volumn 77, Issue 1, 1997, Pages 65-75

  Solecki, S ^a   Srivastava, S M ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Automatic continuity; Baire measurable function; Polish group; Semitopological group

Indexed keywords

EID: 0039800189     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(96)00119-8     Document Type: Article

References (13)

1. H. Backer and A.S. Kechris, Borel actions of Polish groups, Bull. Amer. Math. Soc. 28 (1993) 334-341.
2. H. Becker and A.S. Kechris, The Descriptive Set Theory of Polish Group Actions, London Math. Soc. Lecture Note Ser. (Cambridge Univ. Press, Cambridge, to appear).
3. A. Bouziad, Every Cech-analytic Baire semitopological group is a topological group, Proc. Amer. Math. Soc. 124 (1996) 953-959.
4. J. Dugundji, Topology (Allyn and Bacon, Boston, 1966).
5. R. Ellis, Locally compact transformation groups. Duke Math. J. 24 (1957) 119-125.
6. A.S. Kechris, Classical Descriptive Set Theory (Springer, New York, 1995).
7. |7] G.W. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957) 134-165.
8. D.E. Miller, On the measurability of orbits of Borel actions, Proc. Amer. Math. Soc. 63 (1977) 165-170.
9. D. Montgomery, Continuity in topological groups, Bull. Amer. Math. Soc. 42 (1936) 879-882.
10. W. Roelke and S. Dierlof, Uniform Structures on Topological Groups and their Quotients (McGraw-Hill, New York, 1981).
11. W. Ruppert, Rechtstopologische Halbgruppen, J. Reine Angew. Math. 261 (1973) 123-133.
12. F. Topsøe and J. Hoffmann-Jørgensen, Analytic spaces and their applications, in: Analytic Sets (Academic Press, London, 1980) 317-401.
13. W. Zelazko, A theorem on B0 division algebras, Bull. Polish Acad. Sci. Math. 8 (1960) 373-375.