. . . . . . . "Neuvedeno."@en . "1"^^ . "Projekt je v\u011Bnov\u00E1na z\u00E1kladn\u00EDmu v\u00FDzkumu v matematice. P\u0159edm\u011Btem v\u00FDzkumu jsou topologick\u00E9 a algebraick\u00E9 struktury; metody jsou syntetick\u00E9, zahrnuj\u00ED teorii mno\u017Ein, obecnou topologii, funkcion\u00E1ln\u00ED anal\u00FDzu aj. V\u00FDsledky lze ozna\u010Dit za vynikaj\u00EDc\u00ED. \u00DAdaje obsa\u017Een"@cs . . "2"^^ . . . "2008-05-19+02:00"^^ . "The researchers will try to solve several difficult problems from the field of set-theoretical topology and category theory. Among others, we concentrate on the sequential topology on Boolean algebras, on maximal almost disjoint families on the set of natural numbers, on the terminal notions in the language of set theory, on the compact subsets of the spaces of continuous functions, on the continuity on algebraic structures and on the properties of products. The main aspects, used and combined in various ways, are: The combinatorial and categorical approach, the connections with Boolean algebras, functional analysis, measure theory and theory of generic extensions of models of set theory."@en . . "Spojit\u00E9 a teoreticko-mno\u017Einov\u00E9 metody v topologick\u00FDch a algebraick\u00FDch struktur\u00E1ch" . "0"^^ . . . "\u0158e\u0161itel\u00E9 se pokus\u00ED vy\u0159e\u0161it n\u011Bkter\u00E9 obt\u00ED\u017En\u00E9 probl\u00E9my z oblasti mno\u017Einov\u011B teoretick\u00E9 topologie a teorie kategori\u00ED. Mezi jin\u00FDm, soust\u0159ed\u00EDme se na sekven\u010Dn\u00ED topologii na Booleov\u00FDch algebr\u00E1ch, na maxim\u00E1ln\u00ED skoro disjunktn\u00ED syst\u00E9my na mno\u017Ein\u011B p\u0159irozen\u00FDch \u010D\u00EDselna termin\u00E1ln\u00ED pojmy v jazyce teorie mno\u017Ein, na kompaktn\u00ED podmno\u017Einy v prostorech spojit\u00FDch funkc\u00ED, na spojitost v kontextu algebraick\u00FDch struktur a na vlastnosti sou\u010Din\u016F. Hlavn\u00ED aspekty, kter\u00E9 se r\u016Fzn\u00FDmi zp\u016Fsoby kombinuj\u00ED, jsou: kombinatorick\u00FD a kategori\u00E1ln\u00ED p\u0159\u00EDstup, souvislosti s Booleov\u00FDmi algebrami, funkcion\u00E1ln\u00ED anal\u00FDzou, teori\u00ED m\u00EDry a teori\u00ED generick\u00FDch roz\u0161\u00ED\u0159en\u00ED model\u016F teorie mno\u017Ein." . . "Continuous and set-theoretical methods in topological and algebraic structures"@en . "45"^^ . "GA201/00/1466" . "45"^^ . "http://www.isvav.cz/projectDetail.do?rowId=GA201/00/1466"^^ . . .