Extension structures and compactifications
2001 (English)In: Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Vol. 5), 2001, 2940-2945 p.Conference paper (Refereed)
Basic results on compactifications are presented applying the notion of extension structure. Eachextension structure has a canonical completion. The related completion constructions can be applied, for instance, for generating completion theorems in algebra, lattice theory and general topology, in particular they lead to a universal completion for Cauchy-spaces in the fuzzy filter case. Sincecompactifications can be identified with special Cauchy-completions, even different types ofcompactifications can be generated. Among others, we present new results on the Richardson compactification in the fuzzy filter case applying new results on fuzzy filters. This type of compactification was treated previously by the authors (1993)
Place, publisher, year, edition, pages
2001. 2940-2945 p.
IdentifiersURN: urn:nbn:se:umu:diva-80604DOI: 10.1109/NAFIPS.2001.943694ISBN: 0-7803-7078-3OAI: oai:DiVA.org:umu-80604DiVA: diva2:650502
Joint 9th IFSA World Congress and 20th NAFIPS International Conference, 25 - 28 July 2001, Vancouver, British Columbia, Canada, Coast Plaza Suite Hotel at Stanley Park