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Is every conformal diffeomorphism isotop (or homotop) to an isometry?

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#differential-geometry #riemannian-geometry #homotopy-theory #conformal-geometry
248
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Why do linear transforms act on loops in the torus in this way?

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#algebraic-topology #homotopy-theory #low-dimensional-topology
264
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Deformation Retractions onto the Same Subspace are Homotopic via Deformation Retractions

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#general-topology #algebraic-topology #dynamical-systems #homotopy-theory
611
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Homotopy group of three spheres

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#algebraic-topology #homotopy-theory #fundamental-groups
119
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Consider homotopy of closed curves. Show equality of winding numbers.

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#differential-geometry #homotopy-theory #curves #winding-number
731
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Formal consequences of homotopy pushouts on homology

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#algebraic-topology #homotopy-theory
236
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proof that two curves are not homotopic

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#homotopy-theory #differential-forms #line-integrals
1.1k
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Path-lifting property: function space interpretation

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#algebraic-topology #homotopy-theory #covering-spaces
283
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When is the restriction of a fibration to a subspace a fibration?

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#algebraic-topology #homotopy-theory #fibration
369
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Homotopy Fibers of homotopy equivalence.

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#algebraic-topology #homotopy-theory
354
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Homotopy limits commute

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#reference-request #algebraic-topology #homotopy-theory #model-categories
708
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Is $(I^n, \partial I^n)$ homotopy equivalent to $(R^n, R^n\setminus \left\{0\right\})$

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#general-topology #algebraic-topology #solution-verification #homotopy-theory
2.7k
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Homotopy equivalence of pairs

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#general-topology #homotopy-theory
257
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How to prove that if $(X,A)$ has the homotopy extension property, then so does $(X\cup CA,CA)$?

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#general-topology #homotopy-theory
763
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Given a fundamental polygon and an attaching word, is the resulting space "unique?"

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#general-topology #algebraic-topology #homotopy-theory

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