. "2014-04-07+02:00"^^ . " open mapping" . . " monotone mapping" . "A curve is a one-dimensional compact connected metrizable space of dimension one. We say that one curve is smaller than another curve (with respect to some give class of mappings) if there is a mapping (from the give class) which maps the second curve onto the first one. By doing this we obtain a quasi-ordering of curves (which depends on the class of mappings). We will study such quasi-orderings of dendrites, dendroids and other types of curves which are given by continuous, open, monotone and confluent mappings."@en . "2016-12-31+01:00"^^ . "topology" . . "http://www.isvav.cz/projectDetail.do?rowId=GP14-06989P"^^ . . "2014-01-01+01:00"^^ . . " compact space" . "Kvaziuspo\u0159\u00E1d\u00E1n\u00ED k\u0159ivek vzhledem k otev\u0159en\u00FDm, monot\u00F3nn\u00EDm a konfluentn\u00EDm zobrazen\u00EDm" . . . . "topology, compact space, one-dimensional continuum, continuous mapping, open mapping, monotone mapping, confluent mapping"@en . . . "GP14-06989P" . "0"^^ . . "1"^^ . "0"^^ . "2015-02-09+01:00"^^ . . "0"^^ . . " continuous mapping" . . . "Quasiorder of curves with respect to open, monotone and confluent mappings"@en . " one-dimensional continuum" . "0"^^ . . . "K\u0159ivka je jednodimenzion\u00E1ln\u00ED kompaktn\u00ED souvisl\u00FD metrizovateln\u00FD prostor dimenze jedna. \u0158ekneme, \u017Ee jedna k\u0159ivka je men\u0161\u00ED ne\u017E druh\u00E1 (vzhledem k dan\u00E9 t\u0159\u00EDd\u011B zobrazen\u00ED), pokud existuje zobrazen\u00ED (z dan\u00E9 t\u0159\u00EDdy), kter\u00E9 druhou k\u0159ivku zobraz\u00ED na prvn\u00ED. T\u00EDmto dostaneme na k\u0159ivk\u00E1ch kvaziuspo\u0159\u00E1d\u00E1n\u00ED (z\u00E1visl\u00E9 na vybran\u00E9 t\u0159\u00EDd\u011B zobrazen\u00ED). Budeme studovat tato kvaziuspo\u0159\u00E1d\u00E1n\u00ED dendrit\u016F a dendroid\u016F a jin\u00FDch k\u0159ivek dan\u00E9 pomoc\u00ED spojit\u00FDch, otev\u0159en\u00FDch, monot\u00F3nn\u00EDch a konfluentn\u00EDch zobrazen\u00ED." .