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Expressing $\mathbb{R} P^3$ as a fibre bundle

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#differential-geometry #differential-topology #projective-space #fiber-bundles
119
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Proof of Lemma in "Differentiable Viewpoint"

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#differential-topology
1.4k
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Any N dimensional manifold as a boundary of some N+1 dimensional manifold?

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#general-topology #manifolds #differential-topology #manifolds-with-boundary
235
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I don't understand a paragraph about tangent space

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#differential-geometry #differential-topology #self-learning
158
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Is this a local diffeomorphism?

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#differential-topology
7.6k
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Conformal map iff holomorphic

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#differential-topology #conformal-geometry #holomorphic-bundles
285
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Cancelling Handle Attachments

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#differential-topology #geometric-topology
1k
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Turn a torus inside out

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#general-topology #algebraic-topology #differential-topology #surgery-theory
556
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Why care about group actions?

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#general-topology #algebraic-topology #differential-topology #group-actions
290
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Sufficient conditions for smooth pushout

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#algebraic-topology #differential-topology #smooth-manifolds
1.8k
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Construction of lens spaces

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#algebraic-topology #differential-topology #surgery-theory
341
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$H_{n-1}(M;\mathbb{Z})$ is a free abelian group

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#algebraic-topology #differential-topology
4.1k
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When does a SES of vector bundles split?

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#differential-geometry #algebraic-geometry #differential-topology #vector-bundles
33
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If two maps' derivatives have unit length, then the derivative of the product is $\pm 1$

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#general-topology #differential-topology
1k
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(Morse) non-degenerate iff transverse to the zero section

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#differential-geometry #differential-topology #morse-theory

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