(Stub) The loop space is the function space consisting of all continuous maps from the circle into a topological space; the function space is equipped with the compact-open topology. It is studied in topology, especially homotopy theory.
Questions tagged [loop-spaces]
120 questions
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How to reconstruct a closed loop like a circle or a loop with continuous curvature change i.e. arbitrary shape by using the Frenet-Serret equation
I want to reconstruct a closed loop in 2D or 3D space (depending on whether there is torsion or not) through calculating the Frenet-Serret equations the Frenet-Serret equations, just like the figure below The final shape I want to reconstruct. The…
lindar
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On loop space of a product
[consider good spaces so the objects and question make sense]
Who was the first to prove that the loop space of a product is homeomorphic to the product of the loop spaces? $$\Omega(X\times Y)\approx \Omega X\times \Omega Y$$
[any references are…
Sigur
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Math loop but solves when x is correct
Is there a calculation of some sort that loops itself when for example x =1 but stops looping and solves when x is for example 5.
