Topologija. Del 1, Indeksna teorija in posplošitve Borsuk-Ulamovega izreka
Mramor Kosta, Neža
Obravnavana je indeksna teorija za ▫$G$▫-prostore, kjer je ▫$G$▫ kompaktna Liejeva grupa. Dokazane so osnovne lastnosti dobljene indeksne funkcije in pa indeksni izrek, ki ga lahko obravnavamo kot ...posplošitev Borsuk-Ulamovega izreka. Delo dopolnjujeta dva primera, ki ilustrirata indeksni izrek in pa osnovne lastnosti indeksa. Prvi primer obravnava sfere ▫$S^(kd-l)$▫ s poljubnim prostim delovanjem grupe ▫$G_F$▫, ki je enotska grupa obsega ▫$F\in (R,C,H)$▫. Drugi primer obravnava Stiefelovo mnogoterost ▫$V_m(F^{m+n}$▫ s standardnim delovanjem grupe ▫$G_F(m)$▫ lineartnih transformacij prostora ▫$F^m$▫, ki ohranjajo skalarni produkt.
Type of material - research report
Publication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1988
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