Compactness and convergence with respect to a neighborhood operatror

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F12%3APU86815" target="_blank" >RIV/00216305:26210/12:PU86815 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Compactness and convergence with respect to a neighborhood operatror

Original language description

We introduce a concept of neighborhood operator on a category. Such an operator is obtained by assigning to every atom of the subobject lattice of a given object a centered stack of subobjects of the object subject to two axioms. We study separation, compactness and convergence defined in a natural way by the help of a neighborhood operator. We show that they behave analogously to the separation, compactness and convergence in topological spaces. We also investigate relationships between the separationand compactness as defined on one hand and those with respect to the closure operator induced by the neighborhood operator considered on the other hand.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Collectanea Mathematica

ISSN

0010-0757

e-ISSN

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Volume of the periodical

63

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

123-137

UT code for WoS article

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EID of the result in the Scopus database

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