Generalized precompactness and mixed topologies.

Conradie, Jurie. "Generalized precompactness and mixed topologies.." Collectanea Mathematica 44.1-2-3 (1993): 59-70. <http://eudml.org/doc/41948>.

@article{Conradie1993,
abstract = {The equicontinuous sets of locally convex generalized inducted limit (or mixed) topologies are characterized as generalized precompact sets. Uniformly pre-Lebesgue and Lebesgue topologies in normed Riesz spaces are investigated and it is shown that order precompactness and mixed topologies can be used to great advantage in the study of these topologies.},
author = {Conradie, Jurie},
journal = {Collectanea Mathematica},
keywords = {Espacios vectoriales topológicos; Espacios de Riesz; Compacidad; Topología límite; uniformly pre-Lebesgue and Lebesgue topologies in normed Riesz spaces; equicontinuous sets; locally convex generalized inductive limit; order precompactness; mixed topologies},
language = {eng},
number = {1-2-3},
pages = {59-70},
title = {Generalized precompactness and mixed topologies.},
url = {http://eudml.org/doc/41948},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Conradie, Jurie
TI - Generalized precompactness and mixed topologies.
JO - Collectanea Mathematica
PY - 1993
VL - 44
IS - 1-2-3
SP - 59
EP - 70
AB - The equicontinuous sets of locally convex generalized inducted limit (or mixed) topologies are characterized as generalized precompact sets. Uniformly pre-Lebesgue and Lebesgue topologies in normed Riesz spaces are investigated and it is shown that order precompactness and mixed topologies can be used to great advantage in the study of these topologies.
LA - eng
KW - Espacios vectoriales topológicos; Espacios de Riesz; Compacidad; Topología límite; uniformly pre-Lebesgue and Lebesgue topologies in normed Riesz spaces; equicontinuous sets; locally convex generalized inductive limit; order precompactness; mixed topologies
UR - http://eudml.org/doc/41948
ER -