A Characterization of T1 Spaces via Limit Sets of Nets

Yu-Lin Chou

doi:10.1556/314.2023.00009

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Mathematica Pannonica

Volume/Issue:: Volume 29_NS3: Issue 1

A Characterization of T₁ Spaces via Limit Sets of Nets

Author:

Yu-Lin Chou

Yu-Lin Chou Hsinchu County, Taiwan (R.O.C.)

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chou.y.l.edu@gmail.com

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Pages:: 106–110

Online Publication Date:: 16 Mar 2023

Publication Date:: 19 May 2023

Article Category:: Research Article

DOI:: https://doi.org/10.1556/314.2023.00009

Keywords:: Fréchet–Urysohn space; limit; net; sequence; T₁ space; T₀ space

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This article indicates another set-theoretic formula, solely in terms of union and intersection, for the set of the limits of any given sequence (net, in general) in an arbitrary T₁ space; this representation in particular gives a new characterization of a T₁ space.

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Mathematica Pannonica

Print ISSN:: 0865-2090

Online ISSN:: 2786-0752

Editor in Chief: László TÓTH, University of Pécs, Pécs, Hungary

Honorary Editors in Chief:

János PINTZ, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
† Ferenc SCHIPP, Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary
Sándor SZABÓ, University of Pécs, Pécs, Hungary

Deputy Editors in Chief:

Erhard AICHINGER, JKU Linz, Linz, Austria
Ferenc HARTUNG, University of Pannonia, Veszprém, Hungary
Ferenc WEISZ, Eötvös Loránd University, Budapest, Hungary

Editorial Board

Attila BÉRCZES, University of Debrecen, Debrecen, Hungary
István BERKES, Rényi Institute of Mathematics, Budapest, Hungary
Károly BEZDEK, University of Calgary, Calgary, Canada
György DÓSA, University of Pannonia, Veszprém, Hungary
Balázs KIRÁLY – Managing Editor, University of Pécs, Pécs, Hungary
Vedran KRCADINAC, University of Zagreb, Zagreb, Croatia
Željka MILIN ŠIPUŠ, University of Zagreb, Zagreb, Croatia
Gábor NYUL, University of Debrecen, Debrecen, Hungary
Margit PAP, University of Pécs, Pécs, Hungary
István PINK, University of Debrecen, Debrecen, Hungary
Mihály PITUK, University of Pannonia, Veszprém, Hungary
Lukas SPIEGELHOFER, Montanuniversität Leoben, Leoben, Austria
Andrea ŠVOB, University of Rijeka, Rijeka, Croatia
Csaba SZÁNTÓ, Babeş-Bolyai University, Cluj-Napoca, Romania
Jörg THUSWALDNER, Montanuniversität Leoben, Leoben, Austria
Zsolt TUZA, University of Pannonia, Veszprém, Hungary

Advisory Board

Szilárd RÉVÉSZ – Chair, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
Gabriella BÖHM
György GÁT, University of Debrecen, Debrecen, Hungary

University of Pécs,
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ltoth@gamma.ttk.pte.hu

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Mathematica Pannonica
Language	English
Size	A4
Year of Foundation	1990
Volumes per Year	1
Issues per Year	2
Founder	Akadémiai Kiadó
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ISSN	2786-0752 (Online)
ISSN	0865-2090 (Print)