Results 181 to 190 of about 1,087,957 (214)

Homotopy nilpotency in p-regular loop spaces

Mathematische Zeitschrift, 2008
The authors study the following problem: how far from being homotopy commutative is a loop space having the homotopy type of the \(p\)-completion of a product of a finite numbers of spheres. In particular, they determine the homotopy nilpotency explicitly for a \(p\)-localized compact simply connected simple Lie group and for an exotic \(p\)-compact ...
Kaji, Shizuo, Kishimoto, Daisuke
openaire   +1 more source

Regular Homotopies of Branched Immersions

Journal of the London Mathematical Society, 1986
The branched immersions of \textit{R. D. Gulliver II}, \textit{R. Osserman} and \textit{H. L. Royden} [Am. J. Math. 95, 750-812 (1973; Zbl 0295.53002)] are discussed in the spirit of immersion theory. The main result is that if \(\phi\),\(\chi\) : \(M\to N\) are homotopic branched immersions of a compact surface M in a three- or four-manifold N, then ...
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Computational homotopy of finite regular CW-spaces

Journal of Homotopy and Related Structures, 2013
This paper describes an approach to the computational homotopy of CW-spaces. Computational advantages are obtained by considering spaces that a tessellated in the sense that the space is the union of the closure of its \(n\)-cells and all closures of the \(n\)-cell have face posets isomorphic to that of some fixed polytope.
Ellis, Graham, Hegarty, Fintan
openaire   +1 more source

Regular homotopy and total curvature

, 2003
An immersion of manifolds is a map with everywhere injective differential. Two immersions are regularly homotopic if there exists a continuous 1–parameter family of immersions connecting one to the other. The Smale–Hirsch h–principle [8, 4] says that the
T. Ekholm
semanticscholar   +1 more source

Super-resolution image reconstruction method using homotopy regularization

Multimedia Tools and Applications, 2015
In this paper, we present a homotopy regularization based on fractional order total variation for image super-resolution. This regularization function of the proposed method is composed of three parts: fractional order TV regularization term, homotopy data fidelity term and traditional data fidelity.
Liping Wang, Shangbo Zhou, Awudu Karim
openaire   +1 more source

Adaptive regularized method based on homotopy for sparse fluorescence tomography

Applied Optics, 2013
Determining an appropriate regularization parameter is often challenging work because it has a narrow range and varies with problems, which is likely to lead to large reconstruction errors. In this contribution, an adaptive regularized method based on homotopy is presented for sparse fluorescence tomography reconstruction.
Zhenwen, Xue, Xibo, Ma, Qian, Zhang, Ping, Wu, Xin, Yang, Jie, Tian   +5 more
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A homotopy regularization method for nonlinear ill-posed problems

2011 International Conference on Multimedia Technology, 2011
We report on a new method for nonlinear ill-posed operator equation in Hilbert spaces. Based on the principle of the homotopy method, a new functional is introduced to replace the Tikhonov functional. The minimizer of this replacement functional will constitute a continuous curve connecting the initial value with the approximate solution of the ...
Hongsun Fu, Bo Han
openaire   +1 more source

On regular homotopy of a finite simplicial complex

1986
The authors generalize the regular homotopy theory of finite graphs [the reviewer, Conf. Semin. Mat. Univ. Bari 153 (1978; Zbl 0418.55011)] to finite simplicial complexes and prove that the classical homotopy groups \(\pi_ n(P)\) of a polyhedron P are isomorphic to the regular groups \(Q_ n(K)\) of any triangulation K of P.
CAMMAROTO, Filippo, CARINI, Luisa
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On elementary deformations of regular homotopies. I

1994
\textit{T. Homma} et l'auteur ont prouvé [Topology and computer science, Tokyo, Kinokuniya Company Ltd. (1987), pp. 1-20] que si deux fonctions suffisamment régulières \(f\) et \(g\) d'une surface fermée dans l'intérieur d'une variété de dimension trois sont homotopes, alors il est possible de déformer \(f\) en \(g\) par une suite finie de déformations
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REGULAR HOMOTOPY AND VASSILIEV INVARIANTS OF GENERIC IMMERSIONS Sk → ℝ2k-1, k ≥ 4

, 1998
T. Ekholm
semanticscholar   +1 more source