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15
34
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When Sobolev maps are localizable?

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#differential-topology #riemannian-geometry #sobolev-spaces #regularity-theory-of-pdes
41
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The rank of a map inducing a manifold

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#multivariable-calculus #differential-geometry #manifolds #differential-topology #smooth-manifolds
46
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Are two loops intersecting even number of times in the torus homologous?

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#general-topology #algebraic-topology #differential-topology
149
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Compact (embedded) surface

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#general-topology #differential-topology #topological-groups #minimal-surfaces
596
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A special parallelization of $S^3$

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#manifolds #differential-topology #lie-groups #smooth-manifolds
391
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K-theory and usual (cohomoogical) Euler class

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#algebraic-topology #differential-topology #characteristic-classes #topological-k-theory
642
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Vector Laplacian on Manifolds

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#calculus #differential-geometry #manifolds #differential-topology #surfaces
129
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Example of transversal map f where boundary of preimage is not preimage intersect boundary

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#differential-topology
571
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Smooth structure of a zero-dimensional manifold

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#general-topology #manifolds #differential-topology #smooth-manifolds
358
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Intersection of surfaces is a curve if intersection of tangent planes is line

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#geometry #differential-geometry #manifolds #differential-topology #surfaces
66
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A generating set for $H_2(M^3; \mathbb{Z})$ of disjoint embedded surfaces?

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#algebraic-topology #differential-topology #geometric-topology
1k
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Projection $\pi_i : M_1 \times \cdots \times M_n \to M_i$ is a Smooth Submersion?

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#differential-geometry #proof-verification #differential-topology #smooth-manifolds
147
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Do you need a differentiable homotopy for the Poincaré Lemma

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#differential-geometry #differential-topology #de-rham-cohomology
56
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Homotoping curves in 3/4-manifolds to lie on embedded tori?

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#differential-topology #geometric-topology #fundamental-groups
89
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Is the image of the map $A \to \bigwedge^{k}A $ from matrices above rank $k$ closed?

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#algebraic-geometry #differential-topology #smooth-manifolds #exterior-algebra #submanifold

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