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Št. zadetkov: 3
On nerves of fine coverings of acyclic spaces
Umed H. Karimov, Dušan Repovš
Izvirni znanstveni članek
Oznake: planar acyclic space;cellular compactum;absolute neighborhood retract;nerve;fine covering;embedding into Euclidean space;Čech homology;
The main results of this paper are: (1) If a space ▫$X$▫ can be embedded as a cellular subspace of ▫$\mathbb{R}^n$▫ then ▫$X$▫ admits arbitrary fine open coverings whose nerves are homeomorphic to the ▫$n$▫-dimensional cube ▫$D^n$▫. (2) Every ▫$n$▫-dimensional cell-like compactum can be embedded int ...
Leto: 2015 Vir: Fakulteta za matematiko in fiziko (UL FMF)
On the Alexandroff-Borsuk problem
Matija Cencelj, Umed H. Karimov, Dušan Repovš
Izvirni znanstveni članek
Oznake: ANR;končni polieder;homotopska ekvivalenca;▫$\varepsilon$▫-preslikava;celularna preslikava;skoraj gladka mnogoterost;$|E_8|$-mnogoterost;Kirby-Siebenmannov razred;Galewski-Sternova ovira;netriangulabilna mnogoterost;problem Aleksandrova in Borsuka o mnogoterostih;finite polyhedron;homotopy equivalence;▫$\varepsilon$▫-map;cellular map;almost-smooth manifold;▫$|E_8|$▫-manifold;Kirby-Siebenmann class;Galewski-Stern obstruction;non-triangulable manifold;Alexandroff-Borsuk Manifold Problem;
Obravnavamo klasični problem Aleksandrova in Borsuka v kategoriji netriangulabilnih mnogoterosti: ali za dano ▫$n$▫-dimenzionalno kompaktno netriangulabilno mnogoterost ▫$M^n$▫ in dani ▫$\varepsilon > 0$▫ obstaja ▫$\varepsilon$▫-preslikava ▫$M^n$▫ na ▫$n$▫-dimenzionalni končni polieder, ki inducira ...
Leto: 2017 Vir: Pedagoška fakulteta (UL PEF)
ǂA ǂnew class of homology and cohomology 3-manifolds
Dennis Garity, Umed H. Karimov, Dušan Repovš, Fulvia Spaggiari
Izvirni znanstveni članek
Oznake: cohomology 3-manifold;cohomological dimension;Borel-Moore homology;Čech cohomology;Milnor-Harlap exact sequence;lens space;ANR;
We show that for any set of primes ▫$\mathcal{P}$▫ there exists a space ▫$M_\mathcal{P}$▫ which is a homology and cohomology 3-manifold with coefficients in ▫$\mathbb{Z}_p$▫ for ▫$p \in \mathcal{P}$▫ and is not a homology or cohomology 3-manifold with coefficients in ▫$\mathbb{Z}_q$▫ for ▫$q \notin ...
Leto: 2016 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 3
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