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Displaying 61 – 80 of 120

Monomorphisms in spaces with Lindelöf filters

Richard N. Ball, Anthony W. Hager (2007)

Czechoslovak Mathematical Journal

$𝐒𝐩𝐅𝐢$ is the category of spaces with filters: an object is a pair $(X, ℱ)$ , $X$ a compact Hausdorff space and $ℱ$ a filter of dense open subsets of $X$ . A morphism $f (Y, 𝒢) \to (X, ℱ)$ is a continuous function $f Y \to X$ for which $f^{- 1} (F) \in 𝒢$ whenever $F \in ℱ$ . This category arises naturally from considerations in ordered algebra, e.g., Boolean algebra, lattice-ordered groups and rings, and from considerations in general topology, e.g., the theory of the absolute and other covers, locales, and frames, though we shall specifically address only one of these...

Monomorphisms in the categories of connected algebraic systems with strong homomorphisms

Vítězslav Veselý, Ivan Kopeček (1976)

Archivum Mathematicum

Monomorphisms in the category of small connected categories with surjective functors

Josef Niederle (1977)

Archivum Mathematicum

Natural sinks on $Y_{β}$

J. Schröder (1992)

Commentationes Mathematicae Universitatis Carolinae

Let ${(e_{β} : 𝐐 \to Y_{β})}_{β \in Ord}$ be the large source of epimorphisms in the category $Ury$ of Urysohn spaces constructed in [2]. A sink ${(g_{β} : Y_{β} \to X)}_{β \in Ord}$ is called natural, if $g_{β} \circ e_{β} = g_{β^{'}} \circ e_{β^{'}}$ for all $β, β^{'} \in Ord$ . In this paper natural sinks are characterized. As a result it is shown that $Ury$ permits no $(E p i, ℳ)$ -factorization structure for arbitrary (large) sources.

Note on homotopy pullbacks in abelian categories

Thomas Müller (1983)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

On a generalized small-object argument for the injective subcategory problem

J. Adámek, H. Herrlich, J. Rosický, W. Tholen (2002)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

On binary coproducts of frames

Xiangdong Chen (1992)

Commentationes Mathematicae Universitatis Carolinae

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

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

Theory and Applications of Categories [electronic only]

On functors which are lax epimorphisms.

Adámek, Jir̆í, El Bashir, Robert, Sobral, Manuela, Jir̆í, Velebil (2001)

Theory and Applications of Categories [electronic only]

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 projectiveness in H-closed spaces

A. Błaszczyk (1975)

Colloquium Mathematicae

On some properties of pure morphisms of commutative rings.

Mesablishvili, Bachuki (2002)

Theory and Applications of Categories [electronic only]

On strong monomorphisms and strong epimorphisms.

Shumrani, M.A.Al (2010)

International Journal of Mathematics and Mathematical Sciences

On the pullback stability of a quotient map with respect to a closure operator.

Sousa, Lurdes (2001)

Theory and Applications of Categories [electronic only]

On the reflective hull problem

Michel Hébert (1987)

Commentationes Mathematicae Universitatis Carolinae

On the Whitehead theorem in shape theory II

Sibe Mardešić (1976)

Fundamenta Mathematicae

On Underlying Functors in General and Topological Algebra.

Hans.-E. Porst (1977)

Manuscripta mathematica

On weak monomorphisms and weak epimorphisms in the category of pro-groups.

I. Pop (1992)

Revista Matemática de la Universidad Complutense de Madrid

In this paper we characterize weak monomorphisms and weak epimorphisms in the category of pro-groups. Also we define the notion of weakly exact sequence and we study this notion in the category of pro-groups.

Orthogonality and closure operators

Lurdes Sousa (1995)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Perfect maps are exponentiable - categorically.

Richter, Günther, Tholen, Walter (2001)

Theory and Applications of Categories [electronic only]

Currently displaying 61 – 80 of 120

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