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15
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$\Bbb{R}P^1$ bundle isomorphic to the Mobius bundle

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#differential-topology #vector-bundles
265
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Homological Interpretation of the intersection number

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#algebraic-topology #manifolds #differential-topology #homology-cohomology
89
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Some questions on definition of Grassman manifolds

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#reference-request #algebraic-topology #manifolds #differential-topology
226
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Concrete non trivial computation of Morse homology

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#algebraic-topology #manifolds #differential-topology #homology-cohomology #morse-theory
339
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Transversality of Vector Fields Defined in terms of Diff. Forms and Open Books.

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#differential-geometry #differential-topology
1.5k
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Submersion implies every point is in the image of a local section

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#differential-topology #solution-verification
3.3k
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Preparing for "differential forms in algebraic topology"?

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#reference-request #algebraic-topology #differential-topology #self-learning #advice
954
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Question about a lemma from Milnor's Topology from the Differentiable Viewpoint

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#differential-topology
182
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Does a "typical" reproducing kernel on a manifold generate an infinite-dimensional RKHS?

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#functional-analysis #manifolds #differential-topology #hilbert-spaces
161
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Assumptions required for an implicitely defined surface/manifold to have a specified dimension

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#calculus #general-topology #differential-geometry #manifolds #differential-topology
133
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When can a connection be lifted?

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#differential-geometry #algebraic-topology #differential-topology #principal-bundles #connections
810
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Hairy ball theorem : a counter example ?

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#differential-topology #proof-verification #riemann-surfaces #vector-bundles
109
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Restriction of a line bundle to a a two-cycle

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#algebraic-topology #differential-topology #vector-bundles
1.1k
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Confused on Guillemin and Pollack's proof of the $\epsilon$-Neighborhood theorem.

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#differential-topology
83
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Show $\lambda$ is smooth

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#differential-topology

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