Results 41 to 50 of about 6,563,661 (318)
The homology of a free loop space [PDF]
Pacific Journal of Mathematics, 1991 Denote by \(X^{S^ 1}\) the space of all continuous maps from the circle into a simply connected finite CW complex X. Theorem: Let \({\mathbb{K}}\) be a field and suppose that either char \({\mathbb{K}}>\dim X\) or that X is \({\mathbb{K}}\)-formal. Then the Betti numbers \(b_ q=\dim H_ q(X^{S^ 1};{\mathbb{K}})\) are uniformly bounded above if and only ...
Halperin, Stephen +1 more
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Termination Analysis of Single Path Loop Programs Based on Iterative Trajectory Division [PDF]
Jisuanji kexue, 2023 The ranking function has been extensively studied as an important method of program termination analysis.In this paper,we focus on the termination of single-path loops.Firstly,the concept of two-way iterative loops is proposed,and the single-path loops ...
WANG Yao, LI Yi
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Braided injections and double loop spaces [PDF]
, 2014 We consider a framework for representing double loop spaces (and more generally E-2 spaces) as commutative monoids. There are analogous commutative rectifications of braided monoidal structures and we use this framework to define iterated double ...
Christian Schlichtkrull, Mirjam Solberg
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Bio-Cyber-Physical ‘Planetoids’ for Repopulating Residual Spaces
Spool, 2022 Minimal interventions that provide various microclimates can stimulate both biodiversity and social accessibility of leftover spaces. New habitats are often developed for different animal and plant species based on studies of the microclimates typical ...
Pierre Oskam +2 more
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Survey on real forms of the complex A2(2)-Toda equation and surface theory
Complex Manifolds, 2019 The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop ...
Dorfmeister Josef F. +3 more
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Suboptimal controller design of global active noise control system for various acoustic environments
Scientific Reports, 2023 Conventional active noise control (ANC) systems in enclosed spaces are not easy to implement experimentally because they require a large number of microphones to measure sound pressure in global areas.
Ikchae Jeong, Youngjin Park
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On the geometry of free loop spaces
International Journal of Mathematics and Mathematical Sciences, 2002 We verify the following three basic results on the free loop space LM. (1) We show that the set of all points, where the fundamental form on LM is nondegenerate, is an open subset.
P. Manoharan
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Periodic billiard trajectories and Morse theory on loop spaces [PDF]
, 2014 We study periodic billiard trajectories on a compact Riemannian manifold with boundary, by applying Morse theory to Lagrangian action functionals on the loop space of the manifold.
K. Irie
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On the Space-of-Loops Isomorphism [PDF]
Proceedings of the American Mathematical Society, 1959 For X an arc-wise connected topological space with base point x0, let OX be the space of loops on X; that is, OX is the subset of the function space XI consisting of all paths X: I-*>X such that X(O) =X(1) =x0, where I is the unit interval. Let I Q| X be the geometric realization of the singular complex of QX; |Q|I X is a CW-complex [5].
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Spectra of sigma models on semi-symmetric spaces
Nuclear Physics B, 2016 Sigma models on semi-symmetric spaces provide the central building block for string theories on AdS backgrounds. Under certain conditions on the global supersymmetry group they can be made one-loop conformal by adding an appropriate fermionic Wess–Zumino
Alessandra Cagnazzo +2 more
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