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The notion of a smooth function on a manifold in Guillemin and Pollack

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#real-analysis #manifolds #differential-topology #smooth-manifolds
3.6k
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Bijective local diffeomorphism is a diffeomorphism

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#real-analysis #manifolds #differential-topology #smooth-manifolds
397
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Local coordinate systems in Guillemin and Pollack

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#real-analysis #manifolds #differential-topology #smooth-manifolds
1.1k
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Showing that the composition of maps of constant rank does not have to be of constant rank

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#differential-geometry #manifolds #examples-counterexamples #smooth-manifolds
100
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Approximating differentiable function by smooth one with "metric norm" not affected much

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
221
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Smooth map between vector bundles from local coordinates

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#differential-geometry #smooth-manifolds #vector-bundles
3k
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De Rham cohomology groups of projective real space

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#differential-geometry #algebraic-topology #smooth-manifolds #projective-space #de-rham-cohomology
254
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Is my understanding of a smooth k-dimensional surface accurate?

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#smooth-manifolds #surfaces
116
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A smooth map from $Gr_{\mathbb{C}} (1,2)$ to $Gr_{\mathbb{R}} (2,4)$

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#differential-geometry #smooth-manifolds #grassmannian
126
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Regarding the definition of a regular submanifold

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#differential-geometry #manifolds #smooth-manifolds
161
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If a manifold is contained in another manifold, is it a regular submanifold?

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#manifolds #smooth-manifolds
189
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Is the dimension of an immersed manifold unique?

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#differential-geometry #manifolds #smooth-manifolds
82
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tangent subbundle which is not a distribtuion

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#smooth-manifolds #tangent-bundle
1.2k
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Is a smooth injective map an immersion?

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#differential-topology #smooth-manifolds
622
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Is there a function $f\colon \Bbb R\to \Bbb R$ with uncountably many critical values?

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#differential-topology #smooth-manifolds

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