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Compact self T1-complementary spaces without isolated points

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Compact self T1-complementary spaces without isolated points

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Tkachenko, M. (2009). Compact self T1-complementary spaces without isolated points. Applied General Topology. 10(2):269-276. https://doi.org/10.4995/agt.2009.1739

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Metadatos del ítem

Título: Compact self T1-complementary spaces without isolated points
Autor: Tkachenko, Mikhail
Fecha difusión:
Resumen:
[EN] We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), ...[+]
Palabras clave: Alexandroff duplicate , ˇCech–Stone compactification , Compact , Isolated point , T1-complementary , Transversal topology
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2009.1739
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2009.1739
Tipo: Artículo

References

G. Birkhoff, On the combination of topologies, Fund. Math. 26 (1936), 156–166.

R. Engelking, On the Double Circumference of Alexandroff, Bull. Acad. Polon. Sci. 16 (1968), 629–634.

Shakhmatov, D., & Tkachenko, M. (2002). A compact Hausdorff topology that is a T1-complement of itself. Fundamenta Mathematicae, 175(2), 163-173. doi:10.4064/fm175-2-6 [+]
G. Birkhoff, On the combination of topologies, Fund. Math. 26 (1936), 156–166.

R. Engelking, On the Double Circumference of Alexandroff, Bull. Acad. Polon. Sci. 16 (1968), 629–634.

Shakhmatov, D., & Tkachenko, M. (2002). A compact Hausdorff topology that is a T1-complement of itself. Fundamenta Mathematicae, 175(2), 163-173. doi:10.4064/fm175-2-6

A.K. Steiner, Complementation in the lattice of T1-topologies, Proc. Amer. Math. Soc. 17 (1966), 884–885.

A.K. Steiner and E. F. Steiner, Topologies with T1-complements, Fund. Math. 61 (1967), 23-38.

A.K. Steiner and E. F. Steiner, A T1-complement of the reals, Proc. Amer. Math. Soc. 19 (1968), 177-179.

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