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differential of antipodal map $A(p) = -p$ on $S^n$

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#differential-geometry #differential-topology #differential-forms
826
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Two functions that have the same germ have the same derivation

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#differential-geometry #differential-topology #germs #tangent-bundle
655
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Sard's Theorem Proof Detail Question: Regarding Partial Derivatives.

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#real-analysis #manifolds #differential-topology #partial-derivative
3.1k
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Reference request: Best way of studying Loring Tu's "An Introduction to Manifolds" incompletely, but with restrictions

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#differential-geometry #reference-request #manifolds #differential-topology
77
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Homotoping a map to make it preserve Heegaard splittings

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#differential-topology #homotopy-theory #geometric-topology
882
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compute genus of sphere and torus

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#differential-topology #riemannian-geometry
63
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Is this set a submanifold?

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#differential-geometry #manifolds #differential-topology
96
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Ref. Request -- Tautological Bundle over $G_{k,n}(\mathbb{R})$

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#differential-geometry #differential-topology #grassmannian
363
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How is a section of $Hom(E,F)$ an example of a differential operator?

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#differential-topology #vector-bundles #differential-operators
289
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coordinate curves (differential geometry)

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#differential-geometry #manifolds #differential-topology
1.2k
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Coordinate basis for tangent space

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#differential-geometry #differential-topology
62
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Kernels on $\pi_1$ from inclusions as manifold boundary

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#general-topology #algebraic-topology #differential-topology #geometric-topology
31
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I have a question regarding notation in the proof leading up to Mayer-Vietoris sequence. Supp

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#algebraic-topology #differential-topology #homology-cohomology
2.4k
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An orientation-reversing homeomorphism of the circle has two fixed points and rotation number $0$.

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#general-topology #differential-topology #dynamical-systems
178
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All 2D differentiable surfaces conformal to the euclidian metric?

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#differential-geometry #metric-spaces #differential-topology #surfaces #conformal-geometry

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