Results 291 to 300 of about 6,563,661 (318)
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Canadian Journal of Mathematics, 1987
In this paper we study the spaces X having the property that the space of free loops on X is equivalent in some sense to the product of X by the space of based loops on X. We denote by ΛX the space of all continuous maps from S1 to X, with the compact-open topology.
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In this paper we study the spaces X having the property that the space of free loops on X is equivalent in some sense to the product of X by the space of based loops on X. We denote by ΛX the space of all continuous maps from S1 to X, with the compact-open topology.
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Russian Mathematical Surveys, 1999
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The Space of Loops on a Homogeneous Space and Rational Equivalence
Bulletin of the London Mathematical Society, 1999Let \(G\) be a Lie group, let \(H\) be a closed subgroup, let \(\Omega(G/H)\) be the loop space of the homogeneous space \(G/H\), and let \(\Omega_0(G/H)\) be a component of \(\Omega(G/H)\). The author constructs a rational equivalence from \(\Omega_0(G/H)\) to a product \(P\times Q\), where \(P\) is a product of odd-dimensional spheres and \(Q\) is a ...
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Homotopical Nilpotency of Loop-Spaces
Canadian Journal of Mathematics, 1969In this paper we shall work in the category of countable CW-complexes with base point and base point preserving maps. All homotopies shall also respect base points. For simplicity, we shall frequently use the same symbol for a map and its homotopy class. Given spaces X, Y, we denote the set of homotopy classes of maps from X to Y by [X, Y].
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Topological coHochschild homology and the homology of free loop spaces
Mathematische Zeitschrift, 2022Anna Marie Bohmann +2 more
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Infinite loop spaces from operads with homological stability
Advances in Mathematics, 2017Ulrike Tillmann
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GROUPOIDS, LOOP SPACES AND QUANTIZATION OF 2-PLECTIC MANIFOLDS
Reviews in Mathematical Physics, 2013Christian Saemann, Richard J Szabo
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