V članku se seznanimo z Borsuk-Ulamovim izrekom in njegovo uporabo v problemu poštene delitve. Bolj konkretno se ukvarjamo s problemom pravičnega razreza torte. Pokažemo tudi izrek o sendviču. ...Nadalje si ogledamo Borsuk-Ulamovemu izreku ekvivalentne trditve. S pomočjo teorije stopnje v evklidskih prostorih izpeljemo posplošitev Borsuk-Ulamovega izreka na simetrične množice. Pri tem spoznamo pojem stopnje gladke in zvezne preslikave, ovojno število ter njihove številne lastnosti.
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JCR
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JCR
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