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Can a ball of yarn (seen by an observer with limited resolution) be correctly described as a manifold?

Published on
#manifolds #dimension-theory-analysis
123
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Defining an open submanifold with boundary - John Lee book's proposition and exercise

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#manifolds #smooth-manifolds #manifolds-with-boundary
139
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Requesting book for Hyperbolic manifold

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#reference-request #manifolds #hyperbolic-geometry
487
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How to proof that a dual basis applied to the basis give the Kronecker delta?

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#proof-verification #vector-spaces #manifolds #kronecker-delta
72
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Question about the definition of a complex manifold

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#complex-analysis #manifolds #complex-manifolds
421
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Calculating the velocity of a curve on a manifold

Published on
#differential-geometry #manifolds #circles #curves
283
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Example of a Serre fibration between manifolds which is not a fiber bundle?

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#manifolds #smooth-manifolds #homotopy-theory #fiber-bundles #fibration
178
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Coordinate Independent Integration

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#multivariable-calculus #differential-geometry #manifolds #differential-forms
424
Views

How exactly do partitions of unity work?

Published on
#integration #differential-geometry #manifolds #differential-forms
163
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Local Representations of Forms on Manifolds

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#real-analysis #differential-geometry #manifolds #differential-forms
156
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Manifolds and Global Homeomorphism

Published on
#general-topology #manifolds
152
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Find a non-constant differentiable map from $S^3$ to $SO(3)$

Published on
#differential-geometry #manifolds
62
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Extending local submanifold to global

Published on
#differential-geometry #manifolds #smooth-manifolds
833
Views

How to show the following diagram commutes?

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#algebraic-topology #manifolds #poincare-duality
104
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An extension-type result for Sobolev mappings into a manifold

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#manifolds #sobolev-spaces

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