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A note on the category of the free loop space [PDF]
Proceedings of the American Mathematical Society, 1989 A useful result in critical point theory is that the LjusternikSchnirelmann category of the space of based loops on a compact simply connected manifold M M
Fadell, E., Husseini, S.
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The cohomology of free loop spaces of homogeneous spaces [PDF]
, 2017 The free loops space ΛX of a space X has become an important object of study particularly in the case when X is a manifold. The study of free loop spaces is motivated in particular by two main examples. The first is their relation to geometrically distinct periodic geodesics on a manifold, originally studied by Gromoll and Meyer in 1969.
Burfitt, Matthew Ingram
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The free loop space homology of $$(n-1)$$ ( n - 1 ) -connected 2n-manifolds [PDF]
Journal of Homotopy and Related Structures, 2016 Piotr Beben, Nora Seeliger
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Correspondence: Application of CAD-CAM for Fabrication of Metal-free Band and Loop Space Maintainer [PDF]
Journal of Clinical and Diagnostic Research, 2018 Niraj Gokhale +3 more
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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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Frontiers in Robotics and AI, 2023 In the past 2 decades, there has been increasing interest in autonomous multi-robot systems for space use. They can assemble space structures and provide services for other space assets.
Serdar Kalaycioglu, Anton De Ruiter
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Commutative free loop space models at large primes
Mathematische Zeitschrift, 2003 Nicolas Dupont, Kathryn Hess
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Conformational Sampling in Template-Free Protein Loop Structure Modeling: An Overview
Computational and Structural Biotechnology Journal, 2013 Accurately modeling protein loops is an important step to predict three-dimensional structures as well as to understand functions of many proteins. Because of their high flexibility, modeling the three-dimensional structures of loops is difficult and is ...
Yaohang Li
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Loop Antennas for Use On/Off Ground Planes
IEEE Access, 2020 Many applications benefit from the ability of an RFID tag to operate both on and off a conducting ground plane. This paper presents an electrically small loop antenna at 433 MHz that passively maintains its free-space tune and match when located a ...
John J. Borchardt
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Lie algebra cohomology and the product in the free loop space homology [PDF]
Boletin De La Sociedad Matematica MexicanaJean Baptiste Gatsinzi
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