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$𝒯_{0}$ - and $𝒯_{1}$ -reflections

Maria Manuel Clementino — 1992

Commentationes Mathematicae Universitatis Carolinae

In an abstract category with suitable notions of subobject, closure and point, we discuss the separation axioms $T_{0}$ and $T_{1}$ . Each of the arising subcategories is reflective. We give an iterative construction of the reflectors and present characteristic examples.

On extensions of lax monads.

Clementino, Maria Manuel; Hofmann, Dirk — 2004

Theory and Applications of Categories [electronic only]

Relative injectivity as cocompleteness for a class of distributors.

Clementino, Manuel Maria; Hofmann, Dirk — 2008

Theory and Applications of Categories [electronic only]

Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday).

Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter — 2003

Theory and Applications of Categories [electronic only]

The convergence approach to exponentiable maps.

Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter — 2003

Portugaliae Mathematica. Nova Série

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