Global ETD Search

1	Součiny Fréchetovských prostorů / Products of Fréchet spaces Olšák, Miroslav January 2015 (has links) The article gives a constructions of k-tuples of topological spaces such that the product of the k-tuple is not Frchet-Urysohn but all smaller subproducts are. The construction uses almost disjoint systems. The article repeats the construction by Petr Simon of two such compact spaces. To achieve more dimensional example there are generalized terms of AD systems. The example is constructed under the assumption of existence of a strong completely separable MAD system. It is then constructed under the assumption s ≤ b where s is the splitting number and b is the bounding number.
2	Topologie generované přidáváním jednotlivých bodů / Topologies generated by adding single points Bartoš, Adam January 2014 (has links) We define a general notion of closure scheme to systematically study the classes of Fréchet, sequetial, (pseudo)radial, (weakly) (discretely) Whyburn, and (weakly) discretely generated spaces. First, several general propositions on closure schemes and preservation of induced properties under topological constructions are proved and later applied when we systematically summarize the properties of the classes mentioned above. Next, we focus on a detailed overview of inclusions between the classes in the general case, in the case of Hausdorff spaces, and under additional conditions like compactness and countable compactness. Valid inclusions between the classes are summarized in well arranged diagrams, invalid inclusions are demonstrated by several counterexamples.
3	Кардинальные инварианты ежей Зоргенфрея : магистерская диссертация / Cardinal invariants of Sorgenfrei hedgehogs Ляховец, Д. Ю., Lyakhovets, D. Y. January 2017 (has links) Рассматриваются два топологических пространства: квази-метрический ёж и фактор-ёж, у которых находятся следующие кардинальные инварианты: вес, характер, плотность, спред, экстент, клеточность, теснота, число открытых множеств и число Линделефа; наследственные кардинальные инварианты: наследственный вес, наследственный характер, наследственная плотность, наследственный спред, наследственный экстент, наследственная клеточность, наследственная теснота и наследственное число Линделефа. / We consider two topological spaces, the quasi-metric hedgehog and the factor-hedgehog, which have the following cardinal invariants: weight, character, density, spread, extent, cellularity, tightness, the number of open sets, and the Lindelöf number; hereditary cardinal invariants: hereditary weight, hereditary character, hereditary density, hereditary spread, hereditary extent, hereditary cellularity, hereditary tightness, and the hereditary Lindelöf number. КВАЗИ-МЕТРИКА ФАКТОР-ТОПОЛОГИЯ ЁЖ ПРЯМАЯ ЗОРГЕНФРЕЯ МЕТРИЧЕСКИЙ ЁЖ MASTER'S THESIS CARDINAL INVARIANTS HEREDITARY CARINAL INVARIANTS QUASI-METRIC FACTOR TOPOLOGY HEDGEHOG SORGENFREY LINE METRIC HEDGEHOG

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