Results 121 to 130 of about 446 (130)

Duality theorems for regular homotopy of finite directed graphs

Rendiconti del Circolo Matematico di Palermo, 1982
Let S be a topological space and G a finite directed graph. A function f: \(S\to G\) is called 0-regular (resp. \(0^*\)-regular) iff for all vertices v,\(w\in G\) such that \(v\neq w\) and \(v\mapsto w\), it is \(f^{-1}(v)\cap \overline{f^{-1}(w)}=\emptyset\) (resp. \(\overline{f^{-1}(v)}\cap f^{-1}(w)=\emptyset)\).
Burzio, Marco, Demaria, Davide Carlo
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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
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Regular homotopy for immersions of graphs into surfaces

Sbornik: Mathematics, 2016
We study invariants of regular immersions of graphs into surfaces up to regular homotopy. The concept of the winding number is used to introduce a new simple combinatorial invariant of regular homotopy. Bibliography: 20 titles.
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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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On the higher homotopy associativity of \(p\)-regular Hopf spaces

2016
Finite products of spheres with distinct odd dimensions greater than one are shown to be 5-equivalent to an \(A_ 5\)-space only if they are 5- equivalent to a loop space. \(K\)-theoretic techniques are used to restrict the dimensions of the spheres of such \(A_ 5\)-spaces so that all possibilities can be realized by the classical loop space examples ...
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A Regular Homotopy of S 2

The American Mathematical Monthly, 1966
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Immersions in codimension 1 up to regular homotopy

Archiv der Mathematik, 1988
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Regular Homotopies in the Plane: Part I and II.

The American Mathematical Monthly, 1978
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Regularization Homotopy Method for Solving Distance Equations

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