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Some point-free aspects of connectedness
Některé bezbodové aspekty souvislosti
rigorous thesis (RECOGNIZED)
Advisor: Pultr, Aleš
Date Issued: 2016
Date of defense: 19. 12. 2016
Faculty / Institute: Matematicko-fyzikální fakulta / Faculty of Mathematics and Physics
Abstract: V této práci ukážeme Stoneovu větu o reprezentaci, která je také známa pod názvem Stoneova dualita, v bezbodovém kontextu. Předvedený důkaz je bezvýběrový, a protože se nemusíme starat o jednotlivé body, je mnohem jednodušší ...
In this thesis we present the Stone representation theorem, generally known as Stone duality in the point-free context. The proof is choice-free and, since we do not have to be concerned with points, it is by far simpler ...
In this thesis we present the Stone representation theorem, generally known as Stone duality in the point-free context. The proof is choice-free and, since we do not have to be concerned with points, it is by far simpler ...
Separation axioms
Separation axioms
bachelor thesis (DEFENDED)
Advisor: Pultr, Aleš
Date Issued: 2013
Date of defense: 20. 06. 2013
Faculty / Institute: Matematicko-fyzikální fakulta / Faculty of Mathematics and Physics
Abstract: Klasická (bodová) topologie se zabývá body a vztahy mezi nimi a určitými podmnožinami. Když odhlédneme od bodů a uvážíme pouze strukturu otevře- ných množin, získáme tzv. frame neboli úplný svaz splňující distributivní ...
The classical (point-set) topology concerns points and relationships between points and subsets. Omitting points and considering only the structure of open sets leads to the notion of frames, that is, a complete lattice ...
The classical (point-set) topology concerns points and relationships between points and subsets. Omitting points and considering only the structure of open sets leads to the notion of frames, that is, a complete lattice ...
Some point-free aspects of connectedness
Některé bezbodové aspekty souvislosti
diploma thesis (DEFENDED)
Advisor: Pultr, Aleš
Date Issued: 2013
Date of defense: 02. 09. 2013
Faculty / Institute: Matematicko-fyzikální fakulta / Faculty of Mathematics and Physics
Abstract: V této práci ukážeme Stoneovu větu o reprezentaci, která je také známa pod názvem Stoneova dualita, v bezbodovém kontextu. Předvedený důkaz je bezvýběrový, a protože se nemusíme starat o jednotlivé body, je mnohem jednodušší ...
In this thesis we present the Stone representation theorem, generally known as Stone duality in the point-free context. The proof is choice-free and, since we do not have to be concerned with points, it is by far simpler ...
In this thesis we present the Stone representation theorem, generally known as Stone duality in the point-free context. The proof is choice-free and, since we do not have to be concerned with points, it is by far simpler ...