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Reference request: Pullbacks along submersions are submanifolds and the induced map is a submersion

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
2.7k
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Can a single point in a manifold be seen as a sub manifold?

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#manifolds #differential-topology
401
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Generalizations of Inverse Function Theorem

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#differential-geometry #soft-question #differential-topology #smooth-manifolds
766
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Equivalent condition for non-orientability of a manifold

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
1.6k
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Diffeomorphism group of a manifold is never a Lie group?

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#differential-topology #smooth-manifolds
730
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Non-orientable submanifolds

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#geometry #differential-geometry #differential-topology
138
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Every differentiable structure is smoothable to a smooth structure.

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#differential-topology
487
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Orientability and volume form

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#real-analysis #differential-geometry #manifolds #differential-topology
275
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Locally flat manifold from Frobenius, differential forms approach

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#differential-geometry #partial-differential-equations #differential-topology #differential-forms
115
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Are these "Stiefel-Whitney numbers" invariants of the (smooth)topology of the total space?

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#algebraic-topology #differential-topology #vector-bundles #characteristic-classes
1.7k
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Proving a given set is a submanifold

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#differential-geometry #differential-topology
353
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Characterization of graphs of maps between smooth manifolds

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#proof-verification #differential-topology #smooth-manifolds
977
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Proof of Brouwer fixed point theorem using Stokes's theorem

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#differential-geometry #differential-topology
1.9k
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Is the connected sum of complex manifolds also complex?

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#manifolds #differential-topology #complex-manifolds
2.1k
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Show that the outward unit normal is smooth vector field

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#differential-geometry #differential-topology #smooth-manifolds #vector-fields

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