Sierpinski object for composite affine spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F21%3A85554" target="_blank" >RIV/60460709:41310/21:85554 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0165011421000737" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011421000737</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2021.02.020" target="_blank" >10.1016/j.fss.2021.02.020</a>

Result language

angličtina

Original language name

Sierpinski object for composite affine spaces

Original language description

Motivated by the concept of Sierpinski object for the category of affine bitopological spaces (two topologies instead of one) of R.Noor, A.K.Srivastava, and S.K.Singh, we construct a functor from the category of affine spaces to the category of composite affine spaces (a set-indexed family of topologies instead of one topology), and show a simple condition, under which this functor preserves Sierpinski object. Thus, we get a convenient method of obtaining a composite affine Sierpinski space, given an affine Sierpinski space.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

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

Name of the periodical

FUZZY SETS AND SYSTEMS

ISSN

0165-0114

e-ISSN

1872-6801

Volume of the periodical

420

Issue of the periodical within the volume

N

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

12

Pages from-to

157-168

UT code for WoS article

000684563300009

EID of the result in the Scopus database

2-s2.0-85101982092