Original Research

Homological pseulo - topological vector spaces

M. A. Muller
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 9, No 1 | a434 | DOI: https://doi.org/10.4102/satnt.v9i1.434 | © 1990 M. A. Muller | This work is licensed under CC Attribution 4.0
Submitted: 05 July 1990 | Published: 05 July 1990

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M. A. Muller,, South Africa

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Abstract

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.

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