Bornologiese pseudotopologiese vektorruimtes
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
| Field | Value | |
| Title | Bornologiese pseudotopologiese vektorruimtes Homological pseulo - topological vector spaces | |
| Creator | Muller, M. A. | |
| Description | Bornologiese ruimtes is deur Hogbe - Nlend gedefinieer en pseudotopologiese ruimtes deur Fischer. In hierdie artikel word eienskappe van bornologiese pseudotopologiese vektorruimtes ondersoek. n Karakterisering van sulke ruimtes word verkry en daar word aangetoon dat kwosiëntruimtes en direkte somme van bornologiese pseudotopologiese vektorruimtes bornologies is. Elke bornologiese lokaalkonvekse pseudotopologiese vektorruimte is die induktiewe limiet in die kategorie van pseudotopologiese vektorruimtes van 'n klas van lokaalkonvekse topologiese vektorruimtes. Homological spaces were defined by Hogbe-Nlend in 1971 and pseudo-topological spaces by Fischer in 1959. In this paper properties of bornological pseudo-topological vector spaces are investigated. A characterization of such spaces is obtained and it is shown that quotient spaces and direct sums o f boruological pseudo-topological vector spaces are bornological. Every bornological locally convex pseudo-topological vector space is shown to be the inductive limit in the category of pseudo-topological vector spaces of a family of locally convex topological vector spaces. | |
| Publisher | AOSIS | |
| Date | 1990-07-05 | |
| Identifier | 10.4102/satnt.v9i1.434 | |
| Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 9, No 1 (1990); 15-18 Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 9, No 1 (1990); 15-18 2222-4173 0254-3486 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/434/783
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