Topological categories, quantaloids and Isbell adjunctions
| Autor: | Lili Shen, Walter Tholen |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Higher category theory
18D20 54A99 06F99 010102 general mathematics Categorical logic General Topology (math.GN) Concrete category Mathematics - Category Theory 02 engineering and technology Topology 01 natural sciences Topological category Closed category Mathematics::Category Theory FOS: Mathematics 0202 electrical engineering electronic engineering information engineering Category Theory (math.CT) 020201 artificial intelligence & image processing Profunctor Geometry and Topology 0101 mathematics Category theory Enriched category Mathematics - General Topology Mathematics |
| Zdroj: | Topology and its Applications. 200:212-236 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2015.12.020 |
| Popis: | In fairly elementary terms this paper presents, and expands upon, a recent result by Garner by which the notion of topologicity of a concrete functor is subsumed under the concept of total cocompleteness of enriched category theory. Motivated by some key results of the 1970s, the paper develops all needed ingredients from the theory of quantaloids in order to place essential results of categorical topology into the context of quantaloid-enriched category theory, a field that previously drew its motivation and applications from other domains, such as quantum logic and sheaf theory. 23 pages, final version. License updated |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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