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lo Pretopological spaces 1 51
Semiotopological semicarriers and carriers 1 5 4 1
6 SEMIOTOPOLOGICAL EPIMANIFOLDS
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Acl(S assume auxiliary base set Chapter cl(E closure cl(S configuration connected subset denote echelon construction scheme exists figure equivalent finite sequence follows by Definition follows by Proposition free monoid functional graph Hasse diagram holds hypothesis identity mapping isomorphic Kleene space Kleenemorphic labeled directed graph logical space natural integers nonempty set occurs ordered 5-tuple ordered pair ordered triple preautomaton preopen sets presemiological space presemiological structure pretopo pretopological diagram pretopological spaces pretopological structures principal base set pro-Kleenemorphic proisomorphic Rcl(S recognizable labeled directed recognizable transition diagram relation resp respectively root set rooted recognizable labeled rooted recognizable transition semiatlas over pretopological semiotopo semiotopological semiatlas semiotopological spaces semiotopological structure semisheaf over pretopological sequence of arrows set cl(S set of preopen sheaved pretopological semiatlas species of structures successor sets term Theory of Sets topological space total bijective function total function typification vertex set