Martin Sleziak

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Martin Sleziak HAD-classes in epireflective subcategories of Top Introduction Heredity of AD-classes References Basic definitions Hereditary coreflective subcategories of Top A generalization – epireflective subcategories AD-classes and HAD-classes Subcategories of Top All subcategories are assumed to be full and isomorphism-closed. subcategory of Top =(More)
Let A be a topological space which is not finitely generated and CH(A) denote the coreflective hull of A in Top. We construct a generator of the coreflective subcategory SCH(A) consisting of all subspaces of spaces from CH(A) which is a prime space and has the same cardinality as A. We also show that if A and B are coreflective subcategories of Top such(More)
We prove that every topological space (T 0-space, T 1-space) can be embedded in a pseudoradial space (in a pseudoradial T 0-space, T 1-space). This answers the Problem 3 in [2]. We describe the smallest coreflective subcategory A of Top such that the hereditary coreflective hull of A is the whole category Top. 1 Preliminaries I'd like to present some(More)
This talk is mainly concerned with two generalizations of convergence of sequences called I-convergence and I *-convergence. We will mention some other generalizations of limit which are related to I-convergence, e.g Banach limit and statistical convergence. The notion of limit is one of the central notions in mathematical analysis. No wonder it was(More)
Dedičnost', dedičné koreflektívne obaly a d'alšie vlastnosti koreflektívnych podkategorií kategorií topologick´ych priestorov Dizertačná práca RNDr. Martin SleziakŠkolitel Acknowledgments I am very grateful to my supervisor Doc. RNDr. JurajČinčura, CSc., for introducing me to the topic of this thesis and for his endless patience while he was carefully(More)
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