# A topology over a set of systems

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

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

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topMartínez 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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