Results 21 to 30 of about 1,564 (187)
Some examples of nontrivial homotopy groups of modules
International Journal of Mathematics and Mathematical Sciences, 2001 The concept of the homotopy theory of modules was discovered by Peter Hilton as a result of his trip in 1955 to Warsaw, Poland, to work with Karol Borsuk, and to Zurich, Switzerland, to work with Beno Eckmann.
C. Joanna Su
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Gauge invariant perturbation theory via homotopy transfer
Journal of High Energy Physics, 2021 We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, using
Christoph Chiaffrino +2 more
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The Derivatives of Homotopy Theory [PDF]
Transactions of the American Mathematical Society, 1995 We construct a functor of spaces, M n {M_n}
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Differential contracting homotopy in higher-spin theory
Journal of High Energy Physics, 2023 A new efficient approach to the analysis of nonlinear higher-spin equations, that treats democratically auxiliary spinor variables Z A and integration homotopy parameters in the non-linear vertices of the higher-spin theory, is developed.
M. A. Vasiliev
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The higher topological complexity in digital images
Applied General Topology, 2020 Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy.
Melih İs, İsmet Karaca
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Journal of Applied and Computational Topology, 2023 AbstractWe implement an algorithm RSHT (random simple-homotopy) to study the simple-homotopy types of simplicial complexes, with a particular focus on contractible spaces and on finding substructures in higher-dimensional complexes. The algorithm combines elementary simplicial collapses with pure elementary expansions. For triangulated d-manifolds with
Benedetti, Bruno +3 more
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Mathematics, 2021 In this manuscript, some tripled fixed point results were derived under (φ,ρ,ℓ)-contraction in the framework of ordered partially metric spaces. Moreover, we furnish an example which supports our theorem.
Hasanen A. Hammad +2 more
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Approximate fixed points and fixed points for multi-valued almost E-contractions
Topological Algebra and its Applications, 2021 In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces.
Hoc Nguyen Huu
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T-Homotopy and Refinement of Observation—Part II: Adding New T-Homotopy Equivalences
International Journal of Mathematics and Mathematical Sciences, 2007 This paper is the second part of a series of papers about a new notion of T-homotopy of flows. It is proved that the old definition of T-homotopy equivalence does not allow the identification of the directed segment with the 3-dimensional cube.
Philippe Gaucher
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Quadratic corrections to the higher-spin equations by the differential homotopy approach
Nuclear Physics BThe recently proposed differential homotopy approach to the analysis of nonlinear higher-spin theory is developed. The Ansatz is extended to the form applicable in the second order of the perturbation theory and general star-multiplication formulae are ...
P.T. Kirakosiants +2 more
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