We demonstrate that the ordinable topologies for a set X areprecisely those that occupy the upper part of the lattice of topologies for X, and that they determine a lattice, not always complete or distributive. We also found the amount of complements, and principal complements, for certainordinable topologies, generalizing a known result of P. S. Schnare
This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when cons...
In this paper, we give the new definition of the concept of ordinal numbers and prove its existence ...
Contains fulltext : 241661.pdf (Publisher’s version ) (Open Access
En este artículo demostramos que las topologías ordinables para un conjunto X son justamente aquella...
AbstractWe revisit van Dalen and Wattelʼs characterization of linearly ordered topological spaces in...
AbstractTwo topologies τ and ρ over X are said to be complementary if τ∧ρ is the indiscrete topology...
AbstractBeginning with the external point of view we show how orthomodular lattices may be “pasted” ...
AbstractIt is shown that the set of Knaster continua possesses a natural lattice ordering. A descrip...
The paper focuses on the structure of fundamental sequences of ordinals smaller than $e$. A first re...
SCOPE AND CON'l'ENTS: This thesis deals v1ith the lattice of all topologies which may be p...
This dissertation contains two parts: lattice theory and graph theory. In the lattice theory part, w...
summary:The set $A$ of all atoms of an atomic orthomodular lattice is said to be almost ortho\-go\-n...
summary:The set $A$ of all atoms of an atomic orthomodular lattice is said to be almost ortho\-go\-n...
Van Dalen and Wattel have shown that a space is LOTS (linearly orderable topological space) if and o...
This dissertation contains two parts: lattice theory and graph theory. In the lattice theory part, w...
This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when cons...
In this paper, we give the new definition of the concept of ordinal numbers and prove its existence ...
Contains fulltext : 241661.pdf (Publisher’s version ) (Open Access
En este artículo demostramos que las topologías ordinables para un conjunto X son justamente aquella...
AbstractWe revisit van Dalen and Wattelʼs characterization of linearly ordered topological spaces in...
AbstractTwo topologies τ and ρ over X are said to be complementary if τ∧ρ is the indiscrete topology...
AbstractBeginning with the external point of view we show how orthomodular lattices may be “pasted” ...
AbstractIt is shown that the set of Knaster continua possesses a natural lattice ordering. A descrip...
The paper focuses on the structure of fundamental sequences of ordinals smaller than $e$. A first re...
SCOPE AND CON'l'ENTS: This thesis deals v1ith the lattice of all topologies which may be p...
This dissertation contains two parts: lattice theory and graph theory. In the lattice theory part, w...
summary:The set $A$ of all atoms of an atomic orthomodular lattice is said to be almost ortho\-go\-n...
summary:The set $A$ of all atoms of an atomic orthomodular lattice is said to be almost ortho\-go\-n...
Van Dalen and Wattel have shown that a space is LOTS (linearly orderable topological space) if and o...
This dissertation contains two parts: lattice theory and graph theory. In the lattice theory part, w...
This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when cons...
In this paper, we give the new definition of the concept of ordinal numbers and prove its existence ...
Contains fulltext : 241661.pdf (Publisher’s version ) (Open Access