caa a22 4500 467882568 CHVBK 20180406152724.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10485-006-9019-6 doi (NATIONALLICENCE)springer-10.1007/s10485-006-9019-6 Universality of Coproducts in Categories of Lax Algebras [Elektronische Daten] [Mojgan Mahmoudi, Christoph Schubert, Walter Tholen] Categories of lax $(T,V\,)$ -algebras are shown to have pullback-stable coproducts if $T$ 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 $(T,V\,)$ -algebras, with $T$ preserving inverse images. Moreover, we show that any such category of $(T,V\,)$ -algebras has a concrete, coproduct preserving functor into the category of topological spaces. Springer Science + Business Media B.V., 2006 Lax $(T,V\,)$ -algebra nationallicence universality of coproducts nationallicence extensive category nationallicence topological category nationallicence Mahmoudi Mojgan Department of Mathematics, Shahid Beheshti University, 19839, Tehran, Iran aut Schubert Christoph Software-Technology, Fachbereich Informatik, Universität Dortmund, 44221, Dortmund, Germany aut Tholen Walter Department of Mathematics and Statistics, York University, M3J 1P3, Toronto, ON, Canada aut Applied Categorical Structures Kluwer Academic Publishers 14/3(2006-06-01), 243-249 0927-2852 14:3<243 2006 14 10485 https://doi.org/10.1007/s10485-006-9019-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-006-9019-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mahmoudi Mojgan Department of Mathematics, Shahid Beheshti University, 19839, Tehran, Iran aut NATIONALLICENCE 700 1- Schubert Christoph Software-Technology, Fachbereich Informatik, Universität Dortmund, 44221, Dortmund, Germany aut NATIONALLICENCE 700 1- Tholen Walter Department of Mathematics and Statistics, York University, M3J 1P3, Toronto, ON, Canada aut NATIONALLICENCE 773 0- Applied Categorical Structures Kluwer Academic Publishers 14/3(2006-06-01), 243-249 0927-2852 14:3<243 2006 14 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer