Št. zadetkov: 8
Objavljeni znanstveni prispevek na konferenci
Oznake:
matematika;topologija;Poincaréjev kompleks;Poincaréjeva dualnost;▫$\varepsilon-\delta$▫-kirurgija;kontrolirana kirurgija;izrek o disku;dobra fundamentalna grupa;Wallova ovira za kirurgijo;Atiyah-Hirzebruchovo spektralno zaporedje;Quinnov indeks;celičasta resolucija;
Kontrolirano kirurško zaporedje Ranickega, Pedersena in Quinna uporabimo za rešitev problemov kirurgije v dimenziji 4, za primere, ko se ne ve, če je fundamentalna grupa "dobra". Naši primeri v tem članku se nanašajo na proste neabelove fundamentalne grupe, fundamentalne grupe ploskev in specialne g ...
Leto:
2005
Vir:
Repozitorij Univerze v Ljubljani (RUL)
Izvirni znanstveni članek
Oznake:
generalized manifold;resolution obstruction;controlled surgery;controlled structure set;▫$\mathbb{L}_q$▫-surgery;Wall obstruction;
This paper presents an alternative approach to controlled surgery obstructions. The obstruction for a degree one normal map ▫$(f,b) \colon M^n \to X^n$▫ with control map ▫$q \colon X^n \to B$▫ to complete controlled surgery is an element ▫$\sigma^c (f,b) \in H_n(B, \mathbb{L})$▫, where ▫$M^n, \, X^n ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
generalized manifold;Poincaré duality complex;ENR;2-patch space;resolution obstruction;controlled surgery;controlled structure set;Lq-surgery;Wall obstruction;cell-like map;Gromov-Hausdorff metric;
The primary purpose of this paper concerns the relation of (compact) generalized manifolds to finite Poincaré duality complexes (PD complexes). The problem is that an arbitrary generalized manifold ▫$X$▫ is always an ENR space, but it is not necessarily a complex. Moreover, finite PD complexes requi ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Poincaré duality complex;generalized manifold;Steenrod ▫$\mathbb{L}$▫-homology;periodic surgery spectrum ▫$\mathbb{L}$▫;fundamental complex;$\mathbb{L}$-homology class;Quinn index;
The aim of this paper is to show the importance of the Steenrod construction of homology theories for the disassembly process in surgery on a generalized ▫$n$▫-manifold ▫$X^n$▫, in order to produce an element of generalized homology theory, which is basic for calculations. In particular, we show how ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
generalized manifold;Steenrod ▫$\mathbb{L}$▫-homology;Poincaré duality complex;normal invariant of degree;one map;periodic surgery spectrum ▫$\mathbb{L}$▫;fundamental complex;Spivak fibration;Pontryagin-Thom construction;Spanier-Whitehead duality;absolute neighbourhood retract;
Let ▫$X^{n}$▫ be an oriented closed generalized ▫$n$▫-manifold, ▫$n\ge 5$▫. In our recent paper (Proc. Edinb. Math. Soc. (2) 63 (2020), no. 2, 597-607), we have constructed a map ▫$t:\mathcal{N}(X^{n}) \to H^{st}_{n} ( X^{n}; \mathbb{L}^{+})$▫ which extends the normal invariant map for the case when ...
Leto:
2021
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Gromov-Hausdorff metric;Gromov topological moduli space;manifold-like generalized manifold;absolute neighborhood;retract;cell-like map;▫$\delta$▫-map;structure map;controlled surgery sequence;▫$\varepsilon$▫-homotopy;2-patch space;
We apply the Gromov-Hausdorff metric ▫$d_G$▫ for characterization of certain generalized manifolds. Previously, we have proven that with respect to the metric ▫$d_G$▫, generalized ▫$n$▫-manifolds are limits of spaces which are obtained by gluing two topological ▫$n$▫-manifolds by a controlled homoto ...
Leto:
2023
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
minimal ▫$PD_4$▫-complex;order relation;symmetric L-group;
We define an order relation among oriented ▫$PD_4$▫-complexes. We show that with respect to this relation, two ▫$PD_4$▫-complexes over the same complex are homotopy equivalent if and only if there is an isometry between the second homology groups. We also consider minimal objects of this relation.
Leto:
2015
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
s-cobordism;4-manifold;cohomological dimension;homotopy self-equivalence;
The aim of this paper is to give an ▫$s$▫-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid t ...
Leto:
2015
Vir:
Fakulteta za matematiko in fiziko (UL FMF)