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Indeksna teorija in posplošitve Borsuk-Ulamovega izreka : doktorska disertacijaMramor Kosta, NežaV 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 - dissertationPublication and manufacture - Ljubljana : [N. Mramor-Kosta], 1989Language - slovenianCOBISS.SI-ID - 8436224
Author
Mramor Kosta, Neža
Other authors
Vrabec, Jože, 1940- |
Jaworowski, Jan
Topics
matematika |
topologija |
algebraična topologija |
indeks |
Borsuk-Ulamov izrek |
ekvivariantna kohomologija |
klasifikacijski prostor |
sferni sveženj |
Stiefelova mnogoterost |
Grassmannova mnogoterost |
mathematics |
topology |
algebraic topology |
index |
Borsuk-Ulam theorem |
equivariant cohomology |
classifying space |
sphere bundle |
Stiefel manifold |
Grassmann manifold
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National and University Library, Ljubljana | Ljubljana | NUK |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Mramor Kosta, Neža | 08947 |
Vrabec, Jože, 1940- | 00724 |
Jaworowski, Jan | ![]() |
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