Universality of coproducts in categories of lax algebras

• Autores: Mojgan Mahmoudi, Christoph Schubert, Walter Tholen
• Localización: Applied categorical structures, ISSN 0927-2852, Vol. 14, Nº 3, 2006, págs. 243-249
• Idioma: inglés
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• Resumen

  • Categories of lax -algebras are shown to have pullback-stable coproducts if preserves inverse images. The general result not only gives a common proof of this property in many topological categories but also shows that important topological categories, like the category of uniform spaces, are not presentable as a category of lax -algebras, with preserving inverse images. Moreover, we show that any such category of -algebras has a concrete, coproduct preserving functor into the category of topological spaces.