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15
326
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Giving a counterexample for the extension lemma of smooth functions

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#manifolds #examples-counterexamples #smooth-manifolds #manifolds-with-boundary
66
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A question about the proof of Extension Lemma for Smooth functions

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#manifolds #smooth-manifolds #manifolds-with-boundary
361
Views

A question about the proof of Level sets of Smooth Functions

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#manifolds #smooth-manifolds
1000
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Determine the Tangent Space of a Submanifold

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#manifolds #smooth-manifolds
43
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Showing a continuous function is smooth

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#general-topology #manifolds #smooth-manifolds
66
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Is $(t,|t|)$ a smooth submanifold of $\mathbb{R^2}$?

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#manifolds #smooth-manifolds
149
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Possible condition on locally Euclidean subset of Euclidean space to be embedded submanifold II

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#calculus #differential-geometry #manifolds #smooth-manifolds
79
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When two hypersurfaces can be connected to form an $n$-dimensional submanifold?

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#differential-geometry #manifolds #smooth-manifolds
285
Views

GP $1.2.9(d)$: $d(f\times g)_{(x,y)}=df_x\times dg_y$

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#derivatives #manifolds #differential-topology #smooth-manifolds
125
Views

Smooth distribution: first examples.

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#differential-geometry #smooth-manifolds
696
Views

Sheafy definition for the tangent space at a point on a manifold?

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#smooth-manifolds #sheaf-theory
704
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Characterization of the tangent space in terms of velocity vectors

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#real-analysis #manifolds #differential-topology #smooth-manifolds
192
Views

Doubt in an example from book Introduction to Smooth Manifolds by John M. Lee

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#geometry #differential-geometry #smooth-manifolds
711
Views

GP $1.2.11(b)$: Tangent space to the graph of a smooth function

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#real-analysis #manifolds #differential-topology #smooth-manifolds
2k
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Calculating the tangent space to a hyperboloid

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#real-analysis #manifolds #differential-topology #smooth-manifolds

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