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Compact 3-manifold with trivial first homology

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#algebraic-topology #compact-manifolds
432
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The number of charts needed to cover a compact manifold

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#manifolds #smooth-manifolds #compact-manifolds
142
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Why torus space we could see it in $\mathbb R^3$

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#general-topology #differential-geometry #manifolds #compact-manifolds
116
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Projection on compact submanifolds

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#convex-analysis #hilbert-spaces #compact-manifolds
67
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Finding a heegaard splitting for general $\sum_g\times I/\phi$

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#low-dimensional-topology #compact-manifolds
95
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Non-Homeomorphicity of Compact surfaces

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#algebraic-topology #group-isomorphism #fundamental-groups #compact-manifolds
877
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Geodesic curvature change under conformal metrics

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#riemannian-geometry #conformal-geometry #manifolds-with-boundary #compact-manifolds
59
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Natural surjection that maps loops to cycles

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#riemannian-geometry #homology-cohomology #fundamental-groups #compact-manifolds
104
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Extending functions on boundary into M as a harmonic function

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#harmonic-functions #manifolds-with-boundary #compact-manifolds
358
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Every abelian normal subgroup of a connected and compact Lie group lies in the center

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#lie-groups #compact-manifolds
74
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Does this "algebraic" method for the application of the constructive proof of the classification of closed & compact surfaces have any use?

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#manifolds #surfaces #compact-manifolds
91
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Calculating Sobolev norm on boundary by extending the map on M as a harmonic map

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#functional-analysis #sobolev-spaces #harmonic-functions #compact-manifolds
2.1k
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Critical Points of a smooth map on a compact manifold

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#manifolds #differential-topology #compact-manifolds
63
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$\mathcal{C}^1$-topology of a submanifold with boundary

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#differential-topology #smooth-manifolds #compact-manifolds
85
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Show that if $A\subseteq \mathbb R^n $ is closed and bounded(compact)

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#general-topology #compact-manifolds

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