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15
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Countable and Uncountable cover in Partition of Unity Arguments

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#manifolds #differential-topology #smooth-manifolds
113
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How to calculate total full rotations?

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#differential-topology #rotations #quaternions
775
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Boundary orientation of a half-space

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#real-analysis #linear-algebra #algebraic-topology #manifolds #differential-topology
37
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Show that this map isn't a manifold

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#differential-geometry #manifolds #differential-topology
505
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Definition of the preimage orientation

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#manifolds #differential-topology #smooth-manifolds #manifolds-with-boundary #transversality
864
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About orientation-preserving isomorphisms between vector spaces

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#linear-algebra #differential-topology
268
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Guillemin-Pollack: "Moebius strip is not orientable"

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#general-topology #algebraic-topology #manifolds #differential-topology #smooth-manifolds
109
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An example of the boundary orientation of $I\times X$ from Guillemin-Pollack

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#linear-algebra #algebraic-topology #manifolds #differential-topology #smooth-manifolds
357
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The boundary orientation coincides with the preimage orientation

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#differential-topology #orientation
162
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$\chi(X\times Y)=\chi(X)\cdot\chi(Y)$

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#differential-topology #orientation
368
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What is the name of this "Hopf's theorem"?

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#differential-geometry #partial-differential-equations #differential-topology #riemannian-geometry #maximum-principle
152
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Is the space of exact forms modulo exact forms whose anti-derivatives vanish on the boundary finite dimensional?

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms
60
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There exists immersion whose image is a part of a cone?

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#differential-geometry #differential-topology #smooth-manifolds
907
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Determine all the meromorphic 1-forms on the compact surfaces with poles

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#complex-analysis #differential-topology #riemann-surfaces
1k
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Are any two charts in a manifold compatible?

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#general-topology #continuity #manifolds #differential-topology

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