Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Friedrich, Hegenbarth"'
Publikováno v:
Forum Mathematicum. 34:627-643
In this paper we continue our investigations of 4-dimensional complexes in [A. Cavicchioli, F. Hegenbarth, F. Spaggiari, Four-dimensional complexes with fundamental class, Mediterr. J. Math. 17 (2020), 175]. We study a class of finite oriented 4-comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b83a8299ac0f46b6e66839c26e606909
https://doi.org/10.1515/forum-2021-0070
https://doi.org/10.1515/forum-2021-0070
Autor:
Friedrich Hegenbarth, Dušan D. Repovš
Publikováno v:
Mediterranean journal of mathematics, vol. 20, no. 1, 47, 2023.
Mediterranean journal of mathematics, art: 47 (11 str.), Vol. 20, iss. 1, Feb. 2023
COBISS-ID: 13561433
Mediterranean journal of mathematics, art: 47 (11 str.), Vol. 20, iss. 1, Feb. 2023
COBISS-ID: 13561433
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51313dfa2d2fe84fe03c5b27013424f9
https://repozitorij.uni-lj.si/Dokument.php?id=168618&dn=
https://repozitorij.uni-lj.si/Dokument.php?id=168618&dn=
Autor:
Friedrich Hegenbarth, Dušan Repovš
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 63:579-607
The aim of this paper is to show the importance of the Steenrod construction of homology theories for the disassembly process in surgery on ageneralized n-manifoldXn, in order to produce an element of generalized homology theory, which is basic for c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::941fa12e12710c302c53de14b2af8401
https://doi.org/10.1017/s0013091520000012
https://doi.org/10.1017/s0013091520000012
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 17, Iss 3, Pp 523-539 (1997)
We prove a decomposition theorem for closed connected homotopy equivalent smooth four-manifolds, which partially extends a recent result of [2] to the non-simply connected case. Then we study the question of when a homotopy equivalence between closed
Externí odkaz:
https://doaj.org/article/90e17ba5442d44d78281f23b0285e2e8
Autor:
Friedrich Hegenbarth, Dušan Repovš
Publikováno v:
Mediterranean journal of mathematics, vol. 79, no. 3, pp. 1-22, 2019.
This paper presents an alternative approach to controlled surgery obstructions. The obstruction for a degree one normal map $$(f,b): M^n \rightarrow X^n$$ with control map $$q: X^n \rightarrow B$$ to complete controlled surgery is an element $$\sigma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d32d1c4aa77ccbcde37941c76405533
https://doi.org/10.1007/s00009-019-1354-6
https://doi.org/10.1007/s00009-019-1354-6
Autor:
Friedrich Hegenbarth, Dušan Repovš
Publikováno v:
Topology and its Applications, vol. 239, pp. 126-141, 2018.
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 nec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bf5da80072cf1d74042ae34e5b270f7
http://arxiv.org/abs/1803.08701
http://arxiv.org/abs/1803.08701
This paper continues the study of four-dimensional Poincare duality cobordism theory from our previous work Cavicchioli et al. (Homol. Homotopy Appl. 18(2):267–281, 2016). Let P be an oriented finite Poincare duality complex of dimension 4. Then, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14628ac1f20540279443872905ea14ec
https://hdl.handle.net/11380/1166859
https://hdl.handle.net/11380/1166859
Publikováno v:
Monatshefte für Mathematik. 177:275-293
We define an order relation among oriented \(\textit{PD}_4\)-complexes. We show that with respect to this relation, two \(\textit{PD}_4\)-complexes over the same complex are homotopy equivalent if and only if there is an isometry between the second h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bebe63aa56b5bd768ee7896a0bd6af7e
https://doi.org/10.1007/s00605-014-0716-1
https://doi.org/10.1007/s00605-014-0716-1
Publikováno v:
Volume: 38, Issue: 3 535-557
Turkish Journal of Mathematics
Turkish Journal of Mathematics
We consider 2 types of minimal Poincaré 4-complexes. One is defined with respect to the degree 1-map order. This idea was already present in our previous papers, and more systematically studied later by Hillman. The second type of minimal Poincaré
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae24d45880eae1de0d9535386e492799
https://doi.org/10.3906/mat-1211-54
https://doi.org/10.3906/mat-1211-54
Generalized manifolds are a most fascinating subject to study. They were introduced in the 1930s, when topologists tried to detect topological manifolds among more general spaces (this is nowadays called the manifold recognition problem). As such, ge