Regularity in approach theory |
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| Authors: | B Banaschewski R Lowen C van Olmen |
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| Institution: | (1) Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada;(2) Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium |
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| Abstract: | The setting of approach frames is an exquisite environment to compare the various notions of regularity in topology, frames
and approach spaces and in this paper we make this investigation. This brings to light some interesting similarities and differences
and proves that there are at least two different unifying notions in the setting of approach frames each with specific advantages.
The third author is an Aspirant of the Foundation for Scientific Research Flanders. |
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| Keywords: | approach space frame regularity metric topology initial structure |
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