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Topologija. Del 2, Topologija splošne algebraične enačbeVrabec, JožeNaj bo polinom ▫$D_n(t_1,...,T_n$▫ diskriminanta splošne algebraične enačbe stopnje ▫$n$▫ z realnimi ali kompleksnimi koeficienti ▫$1,t_1,...,t_n$▫. Glavni rezultati tega dela podajajo opis globalne ... topološke strukture diskriminantne množice ▫$D-n^{-1}(0)$▫. Dokazano je, da obstajata taka končna CW kompleksa ▫$X_n$▫ (dimenzije ▫$n-3$▫) in ▫$\mathbb Z_n$▫ (dimenzije ▫$2n-5$▫, da je realna (oziroma kompleksna) diskriminantna množica homeomorfna produktu realne premice (oziroma kompleksne ravnine) z neskončnim stožcem nad kompleksom ▫$X_n$▫ (oziroma ▫$\mathbb Z_n$▫). Nizko dimenzionalni kompleksi ▫$X_3,\; X_4,\; X_5$▫ in ▫$\mathbb Z_3$▫ so določeni povsem eksplicitno, za druge pa je podan principialni kombinatorni opis.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1986Language - slovenianCOBISS.SI-ID - 8087641
Author
Vrabec, Jože
Other authors
Hvala, Bojan |
Cencelj, Matija |
Magajna, Zlatan
Topics
matematika |
topologija |
algebraična geometrija |
algebraična enačba |
diskriminanta |
diskriminantna množica |
prostor enačb |
prostor korenov |
simetrična potenca |
CW kompleks |
mathematics |
topology |
algebraic geometry |
algebraic equation |
discriminant |
diskriminant locus |
equation space |
space of roots |
symmetric power |
CW complex
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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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Vrabec, Jože | 00724 |
Hvala, Bojan | 06084 |
Cencelj, Matija | 03342 |
Magajna, Zlatan | 01920 |
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