A topology over a set of systems

Gaspar Martínez Mora

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales (1996)

  • Volume: 90, Issue: 3, page 141-147
  • ISSN: 1137-2141

Abstract

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The systems of an arbitrary number of linear inequalities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimensional spaces, that yields a set of results in accordance with the theorem of classification of such systems, based upon their associated wedges, given in [Go,2].

How to cite

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Martínez Mora, Gaspar. "A topology over a set of systems ." Revista de la Real Academia de Ciencias Exactas Físicas y Naturales 90.3 (1996): 141-147. <http://eudml.org/doc/42080>.

@article{MartínezMora1996,
abstract = {The systems of an arbitrary number of linear inequalities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimensional spaces, that yields a set of results in accordance with the theorem of classification of such systems, based upon their associated wedges, given in [Go,2].},
author = {Martínez Mora, Gaspar},
journal = {Revista de la Real Academia de Ciencias Exactas Físicas y Naturales},
keywords = {locally convex space},
language = {eng},
number = {3},
pages = {141-147},
title = {A topology over a set of systems },
url = {http://eudml.org/doc/42080},
volume = {90},
year = {1996},
}

TY - JOUR
AU - Martínez Mora, Gaspar
TI - A topology over a set of systems
JO - Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
PY - 1996
VL - 90
IS - 3
SP - 141
EP - 147
AB - The systems of an arbitrary number of linear inequalities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimensional spaces, that yields a set of results in accordance with the theorem of classification of such systems, based upon their associated wedges, given in [Go,2].
LA - eng
KW - locally convex space
UR - http://eudml.org/doc/42080
ER -

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