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Preserving ▫$Z$▫-sets by Dranishnikov's resolutionAgeev, Sergej Mihajlovič, 1957- ; Cencelj, Matija, 1958- ; Repovš, Dušan, 1954-V članku smo dokazali, da je Dranišnikova ▫$k$▫-dimenzionalna resolucija ▫$d_k: \mu^k \to Q$▫ ▫${\mathrm UV^{n-1}}$▫-delilec Čigogidzejeve ▫$k$▫-dimenzionalne resolucije ▫$c_k$▫. Iz tega rezultata ... sledi, da ▫$d_k^{-1}$▫ ohranja ▫$Z$▫-množice. Nadaljni razvoj pojma ▫${\mathrm UV^{n-1}}$▫-delilcev nam je omogočil, da smo našli zadostne pogoje, da je ▫$d_k^{-1}(A)$▫ homeomorfna bodisi Nöbelingovemu prostoru ▫$\nu^k$▫ bodisi univerzalnemu prevdorobu ▫$\sigma^k$▫. Našli smo tudi nekaj drugih uporabnih rezultatov.Source: Topology and its Applications. - ISSN 0166-8641 (Vol. 156, iss. 13, 2009, str. 2175-2188)Type of material - article, component partPublish date - 2009Language - englishCOBISS.SI-ID - 15194201
Author
Ageev, Sergej Mihajlovič, 1957- |
Cencelj, Matija, 1958- |
Repovš, Dušan, 1954-
Topics
matematika |
topologija |
Nöbelingov prostor |
psevdorob |
Z-množica |
Dranišnikova resolucija |
Čigogidzejeva resolucija |
Mengerjev kompakt |
Mengerjeva mnogoterost |
polieder |
poljski prostor |
mathematics |
topology |
Nöbeling space |
pseudoboundary |
Z-set |
Dranishnikov's resolution |
Chigogidze's resolution |
Menger compactum |
Menger manifold |
polyhedron |
Polish space
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Database name | Field | Year |
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Ageev, Sergej Mihajlovič, 1957- | 15530 |
Cencelj, Matija, 1958- | 03342 |
Repovš, Dušan, 1954- | 07083 |
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