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15
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Poincaré-Hopf Theorem for manifolds with boundary in Milnor's book

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#differential-geometry #differential-topology #compact-manifolds
98
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A four dimensional mapping Torus Parallelizable?

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#differential-geometry #differential-topology #smooth-manifolds #fiber-bundles #compact-manifolds
141
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Prove that $H(\mathbb{R})/\sim$ is a compact manifold

Published on
#manifolds #compact-manifolds
315
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A compact flat manifold whose first Betti number is equal to the dimension is a flat torus

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#differential-geometry #riemannian-geometry #compact-manifolds #betti-numbers
75
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Smooth structure on $M/G$

Published on
#smooth-manifolds #compact-manifolds
210
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A question about Gauss-Bonnet theorem on real and complex manifolds

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#differential-geometry #riemannian-geometry #complex-geometry #compact-manifolds
941
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Structure of complex Grassmannian $\textrm{Gr}_\mathbb{C}(2,2)$

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#homotopy-theory #grassmannian #compact-manifolds
401
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How to show reflection of $\mathbb{S}^n$ and the identity are not homotopic?

Published on
#manifolds #homotopy-theory #manifolds-with-boundary #compact-manifolds
512
Views

What is a compact 2-D submanifold?

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#real-analysis #multivariable-calculus #manifolds #compact-manifolds
266
Views

How many ways can we compactify $\mathbb{C}^n$?

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#general-topology #complex-analysis #differential-geometry #compact-manifolds #compactification
489
Views

Why are Hopf manifolds compact?

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#differential-geometry #compactness #complex-geometry #compact-manifolds
203
Views

Why is the boundary of an oriented manifold with its (opposite oriented) copy the empty set?

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#manifolds #differential-topology #smooth-manifolds #manifolds-with-boundary #compact-manifolds
129
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Are there topological manifolds with boundary that are not compact?

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#general-topology #manifolds-with-boundary #compact-manifolds
509
Views

Orbit space isomorphic to Klein bottle

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#algebraic-topology #homotopy-theory #covering-spaces #compact-manifolds
295
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Orbit space of double torus is triple projective space

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#general-topology #algebraic-topology #group-actions #compact-manifolds

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