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Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres
In this paper, the authors introduce a new effective method to compute the generators of the E 1 -term of the May spectral sequence. This helps them to...
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On the Homotopy Decomposition for the Quotient of a Moment–Angle Complex and Its Applications
AbstractWe prove that the quotient of any real or complex moment–angle complex by any closed subgroup in the naturally acting compact torus on it is...
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Homotopy invariants and almost non-negative curvature
This paper explores the relation between the structure of fibre bundles akin to those associated to a closed almost nonnegatively sectionally curved...
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\({\mathbb A}^1\) -homotopy Theory and Contractible Varieties: A Survey
We survey some topics in \({\mathbb A}^1\) -homotopy...
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Some best proximity point results via a new family of F-contraction and an application to homotopy theory
In this paper, taking into account the lack of symmetry property of quasi-metric, we first revise some concepts and notations related to best...
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Real Homotopy of Configuration Spaces Peccot Lecture, Collège de France, March & May 2020
This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds....
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Fiber product homotopy method for multiparameter eigenvalue problems
We develop a new homotopy method for solving multiparameter eigenvalue problems (MEPs) called the fiber product homotopy method. For a k -parameter...
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Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent
Finite frames, or spanning sets for finite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on...
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The \(\mathbb {R}\)-local homotopy theory of smooth spaces
Simplicial presheaves on cartesian spaces provide a general notion of smooth spaces. There is a corresponding smooth version of the singular complex...
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Mixed precision path tracking for polynomial homotopy continuation
This article develops a new predictor-corrector algorithm for numerical path tracking in the context of polynomial homotopy continuation. In the...
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Shape Theory
Shape theory was founded by K. Borsuk 50 years ago. It is essentially a spectral homotopy theory and occupies an important place in geometric...
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Complementarity Enhanced Nash’s Map**s and Differentiable Homotopy Methods to Select Perfect Equilibria
To extend the concept of subgame perfect equilibrium to an extensive-form game with imperfect information but perfect recall, Selten (Int J Game...
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Application of Optimal Homotopy Asymptotic Method with Daftardar-Jafari Polynomials to Couple System of Boussinesq Equations
The solitary wave results of many Boussinesq systems of equations are gained by using the Optimal Homotopy Asymptotic method with Daftardar-Jafari...
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