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Algebraic properties of quasi-finite complexes
Cencelj, Matija, 1958- ...
Števni CW kompleks ▫$K$▫ je kvazi-končen, če za vsak njegov končni podkompleks ▫$M$▫ obstaja končni podkompleks ▫$e(M)$▫, da se da vsaka zvezna funkcija ▫$f: A \to M$▫, kjer je ▫$A$▫ zaprta ...podmnožica separabilnega metričnega prostora ▫$X$▫, za katerega je ▫$K$▫ absolutni ekstenzor, razširiti do zvezne funkcije ▫$X \to e(M)$▫. Iz rezultatov ▫$M$▫. Levina sledi, da noben Eilenberg-MacLaneov prostor ▫$K(G,2)$▫ za netrivialno grupo ▫$G$▫ ni kvazi-končen. Tu obravnavamo kvazi-končnost vseh Eilenberg-MacLaneovih prostorov in splošneje CW kompleksov s končno mnogo netrivialnimi Postnikovimi invariantami.
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