On a lax-algebraic characterization of closed maps

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00083014" target="_blank" >RIV/00216224:14310/15:00083014 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10485-013-9334-7" target="_blank" >http://dx.doi.org/10.1007/s10485-013-9334-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10485-013-9334-7" target="_blank" >10.1007/s10485-013-9334-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On a lax-algebraic characterization of closed maps

Popis výsledku v původním jazyce

M. M. Clementino and W. Tholen presented recently a lax-algebraic generalization of the well-known result on the coincidence of two classes of continuous maps between topological spaces: proper (maps, whose pullbacks are closed) and perfect (closed mapswith compact fibres). Their achievement depends on a particular lax-algebraic extension of the concept of closed map, which relies on constructively completely distributive quantales. This paper proposes a definition of closed maps, which is not dependant on the underlying quantale of lax algebras, and proves the results of M. M. Clementino and W. Tholen in the new setting. We also show that our presented notion fits the axiomatic definition of closed maps in a category.

Název v anglickém jazyce

On a lax-algebraic characterization of closed maps

Popis výsledku anglicky

M. M. Clementino and W. Tholen presented recently a lax-algebraic generalization of the well-known result on the coincidence of two classes of continuous maps between topological spaces: proper (maps, whose pullbacks are closed) and perfect (closed mapswith compact fibres). Their achievement depends on a particular lax-algebraic extension of the concept of closed map, which relies on constructively completely distributive quantales. This paper proposes a definition of closed maps, which is not dependant on the underlying quantale of lax algebras, and proves the results of M. M. Clementino and W. Tholen in the new setting. We also show that our presented notion fits the axiomatic definition of closed maps in a category.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraické metody v kvantové logice</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Applied Categorical Structures

ISSN

0927-2852

e-ISSN

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Svazek periodika

23

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

263-277

Kód UT WoS článku

000355152900002

EID výsledku v databázi Scopus

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