On σ-compact Hattori spaces

Vitalij A. Chatyrko

https://orcid.org/0009-0005-3133-2774

Sweden

Linköping University image/svg+xml

Department of Mathematics

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Accepted: 2024-01-25

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Published: 2024-04-02

DOI: https://doi.org/10.4995/agt.2024.20461
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Keywords:

Hattori spaces, σ-compact spaces

Supporting agencies:

This research was not funded

Abstract:

We present several characterizations of σ-compact Hattori spaces, and reject some possible characterization candidates of the spaces.
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References:

A. Bouziad, and E. Sukhacheva, On Hattori spaces, Comment. Math. Univ. Carolin. 58, no. 2 (2017), 213-223. https://doi.org/10.14712/1213-7243.2015.199

V. A. Chatyrko, and Y. Hattori, A poset of topologies on the set of real numbers, Comment. Math. Univ. Carolin. 54, no. 2 (2013), 189-196.

V. A. Chatyrko, and V. Nyagahakwa, Sets with the Baire property in topologies formed from a given topology and ideals of sets, Questions and answers in General Topology 35 (2017) 59-76

R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989.

M. S. Espelie, and J. E. Joseph, Compact subspaces of the Sorgenfrey line, Math. Magazine 49 (1976), 250-251. https://doi.org/10.1080/0025570X.1976.11976595

Y. Hattori, Order and topological structures of poset of the formal balls on metric spaces, Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci. 43 (2010), 13-26.

V. Kannan, and M. Rajagopalan, On scattered spaces, Proc. Amer. Math. Soc. 43, no. 2 (1974), 402-408. https://doi.org/10.1090/S0002-9939-1974-0334150-X

J. Kulesza, Results on spaces between the Sorgenfrey topology and the usual topology on R, Topol. Appl. 231 (2017), 266-275. https://doi.org/10.1016/j.topol.2017.09.028

F. Lin, and J. Li, Some topological properties of spaces between the Sorgenfrey and usual topologies on the real numbers, arXiv:1807.06938v4.

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