Indeksna teorija in posplošitve Borsuk-Ulamovega izreka : doktorska disertacija

FMF, Mathematical Library, Lj. (MAKLJ)

Indeksna teorija in posplošitve Borsuk-Ulamovega izreka : doktorska disertacija

Mramor Kosta, Neža

V delu s pomočjo indeksne funkcije Fadella in Husseinija dokažemo več pospložitev Borsuk-Ulamovega izreka. V prvem poglavju povzamemo definicijo in lastnosti indeksne funkcije za pare prostorov in ... svežnjev z delovanjem kompaktne Liejeve grupe ▫$G$▫ in pa dokažemo indeksni izrek, ki predstavlja posplošitev Borsuk-Ulamovega izreka v najbolj splošni obliki. Dokažemo tudi zvezo med indeksom svežnja in indeksom vlakna. V drugem poglavju izračunamo indeks za nekaj standardnih primerov ▫$G$▫-prostorov in dokažemo posplošitve Borsukovega izreka o antipodni preslikavi in Borsuk-Ulamovega izreka na prostore z delovanjem izbranih kompaktnih Liejevih grup. V tretjem poglavju pa so zbrane parametrizirane posplošitve Borsuk-Ulamovega izreka.

Type of material - dissertation

Publication and manufacture - Ljubljana : [N. Mramor-Kosta], 1989

Language - slovenian

COBISS.SI-ID - 8436224

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Vrabec, Jože, 1940- | Jaworowski, Jan

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Skladišče-Jadranska 21 10921/36	available - reading room

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Year	Impact factor		Edition		Category		Classification
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Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Mramor Kosta, Neža	08947
Vrabec, Jože, 1940-	00724
Jaworowski, Jan

Source: Personal bibliographies and: SICRIS

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