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15
411
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Collar neighborhoods of a topological manifold with boundary

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#general-topology #algebraic-topology #manifolds #manifolds-with-boundary #compact-manifolds
585
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If the Killing form of a Lie algebra is negative definite, then the Lie algebra is the Lie algebra of a compact semisimple Lie group?

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#lie-groups #lie-algebras #compactness #compact-manifolds
52
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Is a pentagon a surface?

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#manifolds #smooth-manifolds #surfaces #manifolds-with-boundary #compact-manifolds
139
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The relationship between the tubular neighbourhoods of two diffeomorphic manifolds

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#differential-geometry #manifolds #fiber-bundles #compact-manifolds #diffeomorphism
27
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Can one characterize compact smooth manifolds dynamically as such?

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#dynamical-systems #compact-manifolds
164
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Proof of classification theorem for compact surfaces

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#algebraic-topology #compact-manifolds
171
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square root of a Riemannian metric

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#differential-geometry #vector-fields #compact-manifolds
820
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The Sobolev embedding inequality on manifolds

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#analysis #differential-geometry #riemannian-geometry #sobolev-spaces #compact-manifolds
118
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intersection number on the boundary of a manifold

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#manifolds #smooth-manifolds #intersection-theory #manifolds-with-boundary #compact-manifolds
422
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An orientable surface that cannot be embedded into $\Bbb R^3$?

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#manifolds #surfaces #orientation #compact-manifolds #non-orientable-surfaces
147
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Can all connected graphs be embedded on a closed, compact 2-Manifold?

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#graph-theory #compact-manifolds
321
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Simplicial complexes embedded on a compact manifold

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#graph-theory #riemannian-geometry #simplicial-complex #compact-manifolds
365
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What is the "natural homomorphism" in the definition of an *essential manifold*?

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#algebraic-topology #homology-cohomology #smooth-manifolds #compact-manifolds #eilenberg-maclane-spaces
234
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Compactification of log z Riemann Surface

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#complex-analysis #logarithms #compactness #riemann-surfaces #compact-manifolds
132
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Covering $\Bbb RP^\text{odd}\longrightarrow X$, what can be said about $X$?

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#algebraic-topology #covering-spaces #projective-space #cw-complexes #compact-manifolds

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