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$C_{0}$ -biČech spaces and $C_{1}$ -biČech spaces.

Boonpok, Chawalit (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

$C_{0}$ -spaces and $C_{1}$ -spaces.

Boonpok, Chawalit (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

Canonical and op-canonical lax algebras.

Seal, Gavin J. (2005)

Theory and Applications of Categories [electronic only]

Cantor-connectedness revisited

Robert Lowen (1992)

Commentationes Mathematicae Universitatis Carolinae

Following Preuss' general connectedness theory in topological categories, a connectedness concept for approach spaces is introduced, which unifies topological connectedness in the setting of topological spaces, and Cantor-connectedness in the setting of metric spaces.

Cartesian closed topological hull of the construct of closure spaces.

Claes, V., Lowen-Colebunders, E., Sonck, G. (2001)

Theory and Applications of Categories [electronic only]

Categories of closure spaces and corresponding lattices

Claude-Alain Faure (1994)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Categories of directed spaces

Krzysztof Ziemiański (2012)

Fundamenta Mathematicae

The main goal of the present paper is to unify two commonly used models of directed spaces: d-spaces and streams. To achieve this, we provide certain "goodness" conditions for d-spaces and streams. Then we prove that the categories of good d-spaces and good streams are isomorphic. Next, we prove that the category of good d-spaces is complete, cocomplete, and cartesian closed (assuming we restrict to compactly generated weak Hausdorff spaces). The category of good d-spaces is large enough to contain...

Circle spaces

Lavallee, Lorraine D. (1977)

Portugaliae mathematica

Closure spaces and characterizations of filters in terms of their Stone images

Anh Tran Mynard, Frédéric Mynard (2007)

Czechoslovak Mathematical Journal

Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filters (i.e., neighborhood filters in spaces of the same name) are characterized in a unified manner in terms of their images in the Stone space of ultrafilters. These characterizations involve closure structures on the set of ultrafilters. The case of productively Fréchet filters answers a question of S. Dolecki and turns out to be the only one involving a non topological closure structure.