Geodesic
Lawvere completeness as a topological property
Theory and applications of categories, CT2011, Tome 27 (2012), pp. 242-262

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Lawvere's notion of completeness for quantale-enriched categories has been extended to the theory of lax algebras under the name of L-completeness. In this paper we introduce the corresponding morphism concept and examine its properties. We explore some important relativized topological concepts like separatedness, denseness, compactness and compactification with respect to L-complete morphisms. Moreover, we show that separated L-complete morphisms belong to a factorization system.

Publié le :
Classification : 18A05, 18A20, 18A32, 18B30, 18C15, 18D20, 54A20, 54B30, 54C10
Keywords: Completeness, compactness, lax algebra, module, proper map, injectivity, fibrewise sober, factorization system 
@article{TAC_2012_27_a11,
     author = {Serdar Sozubek},
     title = {Lawvere completeness as a topological property},
     journal = {Theory and applications of categories},
     pages = {242--262},
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     volume = {27},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_27_a11/}
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Serdar Sozubek. Lawvere completeness as a topological property. Theory and applications of categories, CT2011, Tome 27 (2012), pp. 242-262. http://geodesic.mathdoc.fr/item/TAC_2012_27_a11/