-spaces and the Wallman compactification.
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Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)
International Journal of Mathematics and Mathematical Sciences
Alexander Grothendieck (1958/1960)
Séminaire Bourbaki
Alexander Grothendieck (1960/1961)
Séminaire Bourbaki
Andrée Ehresmann, Charles Ehresmann (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Anthony W. Hager, Brian Wynne (2022)
Commentationes Mathematicae Universitatis Carolinae
We define “the category of compactifications”, which is denoted CM, and consider its family of coreflections, denoted corCM. We show that corCM is a complete lattice with bottom the identity and top an interpretation of the Čech–Stone . A corCM implies the assignment to each locally compact, noncompact a compactification minimum for membership in the “object-range” of . We describe the minimum proper compactifications of locally compact, noncompact spaces, show that these generate the atoms...
Anthony W. Hager, Michael David Rice (1976)
Czechoslovak Mathematical Journal
Dieter Pumplün, Helmut Röhrl (1987)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Cockett, J.R.B., Lack, Stephen (2001)
Theory and Applications of Categories [electronic only]
Stephen Schanuel, Ross Street (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Kosta Došen, Zoran Petrić (2003)
Publications de l'Institut Mathématique
Petr Kůrka (1972)
Commentationes Mathematicae Universitatis Carolinae
Hans-Eberhard Porst (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Janelidze, G., Kelly, G.M. (1997)
Theory and Applications of Categories [electronic only]
Grandis, Marco (2005)
Theory and Applications of Categories [electronic only]
Freyd, Peter (2007)
Theory and Applications of Categories [electronic only]
Laurent Coppey (1972)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Eraldo Giuli (1983)
Commentationes Mathematicae Universitatis Carolinae
Manfred B. Wischnewsky (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Basil A. Rattray (1974)
Manuscripta mathematica
Jiří Adámek, Lurdes Sousa, Walter Tholen (2000)
Commentationes Mathematicae Universitatis Carolinae
Categories whose Yoneda embedding has a left adjoint are known as total categories and are characterized by a strong cocompleteness property. We introduce the notion of multitotal category by asking the Yoneda embedding to be right multiadjoint and prove that this property is equivalent to totality of the formal product completion of . We also characterize multitotal categories with various types of generators; in particular, the existence of dense generators is inherited by the formal product...
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