Full entry |
PDF
(0.1 MB)
Feedback

extremally disconnected; semitopological group; order 2; Souslin number; Lindelöf space

References:

[1] Arhangel'skii A.V.: **Groupes topologiques extremalement discontinus**. C.R. Acad. Sci. Paris 265 (1967), 822-825. MR 0222207

[2] Arhangel'skii A.V., Ponomarev V.I.: **Fundamentals of General Topology: Problems and Exercises**. Reidel, 1984. MR 0785749

[3] Efimov B.A.: **Absolutes of homogeneous spaces**. Dokl. Akad. Nauk SSSR 179:2 (1968), 271-274. MR 0227937 | Zbl 0179.27802

[4] Frolík Z.: **Fixed points of maps of extremally disconnected spaces and complete Boolean Algebras**. Bull. Acad. Polon. Sci., Ser. Math., Astronom., Phys. 16 (1968), 269-275. MR 0233343

[5] Frolík Z.: **Fixed points of maps of $\beta N$**. Bull. Amer. Math. Soc. 74 (1968), 187-191. MR 0222847

[6] Frolík Z.: **Maps of extremally disconnected spaces, theory of types, and applications**. General Topology and its Relations to Modern Analysis and Algebra, 3. (Proc. Conf., Kanpur, 1968), pp.131-142; Academia, Prague, 1971. MR 0295305

[7] Katětov M.: **A theorem on mappings**. Comment. Math. Univ. Carolinae 8:3 (1967), 431-433. MR 0229228

[8] Malychin V.I.: **Extremally disconnected and close to them groups**. Dokl. Akad. Nauk SSSR 220:1 (1975), 27-30. MR 0382536

[9] Raimi R.: **Homeomorphisms and invariant measures for $\beta N\setminus N$**. Duke Math. J. 33 (1966), 1-12. MR 0198450

[10] Sirota S.: **Products of topological groups and extremal disconnectedness**. Matem. Sb. 79:2 (1969), 179-192. MR 0242988