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Topologija. Del 2, Indeksna teorija nad bazo in parametrizirane posplošitve Borsuk-Ulamovega izreka
Mramor Kosta, Neža
Prikazana je indeksna teorija za ▫$G$▫-prostore nad bazo ▫$B$▫, kjer je ▫$G$▫ kompaktna Liejeva grupa, ▫$B$▫ pa parakompakten prostor s prostim delovanjem grupe ▫$G$▫, ki so jo vpeljali Fadell in ...Husseini in Jaworowski. Izračunan je ▫$G$▫-indeks nekaterih standardnih svežnjev, na podlagi dobljenih rezultatov pa so dokazane trditve, ki jih lahko tolmačimo kot parametrizirane Borsuk-Ulamove izreke za grupe ▫$\mathbb Z_p$▫, ▫$p$▫ praštevilo, ▫$S^{1}$▫, ▫$S^{3}$▫, ▫$O(n)$▫, ▫$U(n)$▫ in ▫$Sp(n)$▫.
Type of material - research report
Publication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1989
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