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The Möbius Strip diffeomorphism

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#differential-topology #projective-space
141
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Principal fibre bundles with constant transition functions

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#differential-geometry #differential-topology #fiber-bundles #principal-bundles
26
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continuity of isomorphism of unit circle

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#analysis #continuity #differential-topology #inverse-function
275
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Prerequisites to understand Immersion conjecture proof by Cohen (1985)

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#algebraic-topology #differential-topology
363
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Left translation on Lie group of a discrete subgroup is properly discontinuous

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#differential-geometry #algebraic-topology #differential-topology #lie-groups #smooth-manifolds
262
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Topological invariance of compactly supported de Rham cohomology

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms #de-rham-cohomology
58
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Why is the image of the map $f(x) =(sin(x),1- cos(x))$ for $x\in [0, 2\pi)$ and $f =\operatorname{id}$ otherwise not a submanifold of $\mathbb{R}^2$?

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#manifolds #differential-topology
638
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A map $f:S^n\to S^n$ of odd degree must carry some pair of antipodal points into a pair of antipodal points

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#differential-geometry #differential-topology
524
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Determining the linear independence of tangent vectors at a point on the manifold

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#differential-topology #smooth-manifolds #tangent-bundle #smooth-functions #tangent-spaces
59
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Second countability of Minkowski double cones.

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#general-topology #differential-topology #special-relativity
211
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Local diffeomorphism of Euclidean space is a global diffeomorphism

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#differential-topology
57
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Stiefel-Whitney numbers of exotic differentiable structures

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#differential-topology #smooth-manifolds #characteristic-classes
142
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Understanding the meaning of immersion for Manifolds

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#general-topology #differential-geometry #differential-topology
219
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Evaluate the index of a vector field at an isolated zero, using the Brouwer degree

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#differential-topology
536
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Stiefel-Whitney numbers of manifolds that are boundaries of non-smoothable manifolds

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#differential-topology #smooth-manifolds #characteristic-classes #cobordism

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