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Decompositions of ▫${\mathbb R}^n$▫, ▫$n \ge 4$▫, into convex sets generate codimension 1 manifold factorsHalverson, Denise M., 1966- ; Repovš, Dušan, 1954-We show that if ▫$G$▫ is an upper semicontinuous decomposition ▫${\mathbb R}^n$▫, ▫$n \ge 4$▫, into convex sets, then the quotient space ▫${\mathbb R}^n /G$▫ is a codimension 1 manifold factor. In ... particular, we show that ▫${\mathbb R}^n /G$▫ has the disjoint arc-disk property.Source: Mediterranean journal of mathematics. - ISSN 1660-5446 (Vol. 10, iss. 2, 2013, str. 1101-1106)Type of material - article, component partPublish date - 2013Language - englishCOBISS.SI-ID - 16618585
Author
Halverson, Denise M., 1966- |
Repovš, Dušan, 1954-
Topics
matematika |
topologija |
navzgor polzvezna dekompozicija |
konveksna množica |
posplošena mnogoterost |
celičasta resolucija |
lastnost splošne lege |
faktor, ki je mnogoterost kodimenzije ena |
posplošeni Mooreov problem |
mathematics |
topology |
upper semicontinuous decomposition |
convex set |
generalized manifold |
cell-like resolution |
general position property |
codimension 1 manifold factor |
Generalized Moore Problem
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Halverson, Denise M., 1966- | ![]() |
Repovš, Dušan, 1954- | 07083 |
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