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Dostęp zamkniętyA construction of Nöbeling manifolds of arbitrary weight
| cris.lastimport.scopus | 2024-02-12T19:55:46Z |
| dc.abstract.en | For each cardinal κ, each natural number n, and each at most n-dimensional simplicial complex K we construct a space ν(K) and a map π:ν(K)→K such that the following conditions are satisfied: (1) ν(K) is a complete n-dimensional metric space of weight κ; (2) ν(K) is an absolute neighborhood extensor in dimension n; (3) ν(K) is strongly universal in the class of complete n-dimensional metric spaces of weight κ; and (4) π is an n-homotopy equivalence. For κ=ω these spaces are n-dimensional separable Nöbeling manifolds. They have very interesting fractal-like internal structure that allows easy construction, subdivision, and surgery on brick partitions. |
| dc.affiliation | Uniwersytet Warszawski |
| dc.contributor.author | Nagórko, Andrzej |
| dc.contributor.author | Bell, Gregory C. |
| dc.date.accessioned | 2024-01-24T17:18:28Z |
| dc.date.available | 2024-01-24T17:18:28Z |
| dc.date.issued | 2020 |
| dc.description.finance | Publikacja bezkosztowa |
| dc.description.volume | 250 |
| dc.identifier.doi | 10.4064/FM488-10-2019 |
| dc.identifier.issn | 0016-2736 |
| dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/101493 |
| dc.identifier.weblink | http://dx.doi.org/10.4064/fm488-10-2019 |
| dc.language | eng |
| dc.pbn.affiliation | mathemathics |
| dc.relation.ispartof | Fundamenta Mathematicae |
| dc.relation.pages | 227-242 |
| dc.rights | ClosedAccess |
| dc.sciencecloud | nosend |
| dc.subject.en | Nöbeling space |
| dc.title | A construction of Nöbeling manifolds of arbitrary weight |
| dc.type | JournalArticle |
| dspace.entity.type | Publication |