REAL

Erratum to "New approach for closure spaces by relations"

Zakaria, Amr (2017) Erratum to "New approach for closure spaces by relations". ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 33 (2). pp. 115-116. ISSN 0866-0174

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Abstract

In this note, an alleged lemma 3.6 stated in [2] is incorrect in general, by giving an example. In addition to this point, if the closure space studied in [2] was T1 space, then it is the discrete space (X, P(X)). As a consequence, Proposition 6.4, Corollary 6.4, Proposition 6.5, Corollary 6.6, Proposition 6.6 and Corollary 6.7 mentioned in [2] are trivially satisfied without proof.

Item Type: Article
Uncontrolled Keywords: Closure space; Alexandrov space; minimal neighbourhood
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 07 Feb 2024 10:17
Last Modified: 07 Feb 2024 10:37
URI: http://real.mtak.hu/id/eprint/187766

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