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Source For Partitions of Unity Problems

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
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Can the torus and the Klein bottle be thought as $\mathbb{R}^2/G$ with $G$ a finite group acting freely

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#general-topology #manifolds
34
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For a locally euclidean space X, what is the domain of the coordinate map for a chart?

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#manifolds
126
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Unit Spheres, Isotopies, and Homotopies

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#differential-geometry #manifolds #differential-topology #homotopy-theory
324
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SO(n) as a manifold

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#manifolds #eigenfunctions
814
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$M =\{(t, \vert t \vert) \text{ }\vert t \in \mathbb{R} \} $ isn't a Smooth Submanifold

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#manifolds #smooth-manifolds
78
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Brieskorn 4-manifold

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#algebraic-topology #manifolds #smooth-manifolds #low-dimensional-topology
28
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Every banach manifold is locally arcwise conneted

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#general-topology #manifolds #connectedness
346
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$U(n)$ and $SU(n)$ are connected smooth submanifold of $M_{n,n}(\mathbb{C})$

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#manifolds #lie-groups #submanifold
587
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Computing differentials on manifolds

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#manifolds #smooth-manifolds
65
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Why is this definition of differential for manifolds correct?

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#manifolds #smooth-manifolds
40
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Injective Map $\gamma \in C^{\infty}(V, \mathbb{R}^{n+k})$ with Surjective Differential is Homeomorphism

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#differential-geometry #manifolds
1.8k
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Is the torus with one hole homeomorphic to the torus with two holes?

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#general-topology #manifolds #connectedness
148
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Fundamental Domain and Transversality of Vector Field in Ordinary Differential Equations

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#ordinary-differential-equations #differential-geometry #manifolds #dynamical-systems #transversality
243
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What is smooth structure on the exterior algebra of cotangent bundle?

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#differential-geometry #manifolds #vector-bundles #fiber-bundles

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