EuDML | Browse

The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.

On categories of supertopological spaces

Anna Tozzi, Oswald Wyler (1987)

Acta Universitatis Carolinae. Mathematica et Physica

On complexity of metric spaces

Aarno Hohti, Jan Pelant (1985)

Fundamenta Mathematicae

On continuous images of almost Tychonoff cubes

Aleksander V. Arhangel'skii, Juraj Činčura (1984)

Commentationes Mathematicae Universitatis Carolinae

On endomorphism semigroups of a fuzzily structured set

Veniamin Shteinbuk, Alexander P. Šostak (1992)

Kybernetika

On equalizers in the category of frames with weakly open homomorphisms

Josef Niederle (1992)

Czechoslovak Mathematical Journal

On essential ring embeddings and the epimorphic hull of $C (X)$ .

Raphael, R., Woods, R.G. (2005)

Theory and Applications of Categories [electronic only]

On extension of functors

L. Karchevska, Taras Radul (2012)

Commentationes Mathematicae Universitatis Carolinae

A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.

On Extension of Functors onto the Kleisli Category of the Inclusion Hyperspace Monad

Teleiko, Andrii (1998)

Serdica Mathematical Journal

It is proved that there exists no extension of any non-trivial weakly normal functor of finite degree onto the Kleisli category of the inclusion hyperspace monad.

On extension of functors to the Kleisli category of some weakly normal monads

Andrii Teleiko (1996)

Commentationes Mathematicae Universitatis Carolinae

The problem of extension of normal functors to the Kleisli categories of the inclusion hyperspace monad and its submonads is considered. Some negative results are obtained.

On free topological algebras

Hans-E. Porst (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

On functors of finite degree and $κ$ -metrizable bicompact spaces.

Ivanov, A.V. (2001)

Sibirskij Matematicheskij Zhurnal

On generalized topological spaces I

Artur Piękosz (2013)

Annales Polonici Mathematici

We begin a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both GTS and its full subcategory SS of small spaces are topological categories. The second part of this paper will also appear in this journal.

On generalized topological spaces II

Artur Piękosz (2013)

Annales Polonici Mathematici

This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories GTS(M), with M a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.

On hereditary and product-stable quotient maps

Friedhelm Schwarz, Sibylle Weck-Schwarz (1992)

Commentationes Mathematicae Universitatis Carolinae

It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.

On Limit Permanence of Projectivity and Ingectivity

N. D. Macheras (1993)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Currently displaying 1 – 20 of 38

Page 1 Next