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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

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/86708

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Title: Compact self T1-complementary spaces without isolated points
Author: Tkachenko, Mikhail
Issued date:
Abstract:
[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), ...[+]
Subjects: Alexandroff duplicate , ˇCech–Stone compactification , Compact , Isolated point , T1-complementary , Transversal topology
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2009.1739
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2009.1739
Type: 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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