Closed hereditary coreflective subcategories in epireflective subcategories of Top
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Veronika Pitrová
Abstract
The aim of this paper is to investigate closed hereditary coreflective subcategories in epireflective subcategories A of Top, mainly in the case that ZD ⊆ A ⊆ Tych. Particularly the closed hereditary coreflective hull of the one-point compactification of the discrete space on the set of all non-negative integers in such epireflective subcategories is studied. It is proved that under some set-theoretic assumptions it is the whole category A.
Acknowledgement
I would like to thank J. Činčura for his help and lots of useful comments.
References
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© 2017 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- State hoops
- On derivations of partially ordered sets
- Interior and closure operators on commutative basic algebras
- When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
- Sequences of cantor type and their expressibility
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- Method of upper and lower solutions for coupled system of nonlinear fractional integro-differential equations with advanced arguments
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- Representation of maxitive measures: An overview
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- On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces
- Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups
- Homological properties of banach modules over abstract segal algebras
- Variable Hajłasz-Sobolev spaces on compact metric spaces
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- Additivity of maps preserving products AP ± PA* on C*-algebras
- A note on derived connections from semi-symmetric metric connections
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