Results 281 to 290 of about 39,036 (315)
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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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Reflection Spaces, Partial K-Loops and K-Loops
Results in Mathematics, 2011The points in a reflection space are involutions in some group \(\Gamma\). A reflection space is called \(elliptic\) if there is a point \(p\) such that \(xp=px\) for some point \(x\neq p\). The authors show that in a non-elliptic reflection space any two distinct points have at most one midpoint. Moreover a transitive non-elliptic reflection space \(P\
Karzel, Helmut +1 more
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Holomorphic Dynamics in Loop Spaces
Journal of Dynamical and Control Systems, 2006The authors describe a natural setting for studying a frequently encountered type of evolution of loops with respect to complex time. This evolution is studied on the language of holomorphic doughnuts with an emphasis on the existence problem and geometric aspects.
Aliashvili, T., Khimshiashvili, G.
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Russian Mathematical Surveys, 1999
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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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HOLOMORPHIC FUNCTIONS ON (GENERALISED) LOOP SPACES
Mathematical Proceedings of the Royal Irish Academy, 2004Let \(M\) be a complex manifold (\(\dim M = n
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Genome folding through loop extrusion by SMC complexes
Nature Reviews Molecular Cell Biology, 2021Iain F Davidson, Jan-Michael Peters
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