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Closed, simply connected manifolds which are not spheres

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#algebraic-topology #differential-topology #examples-counterexamples #homotopy-theory #spheres
529
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Integrals of non-compactly supported forms

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#differential-topology #differential-forms
219
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Surgery presentation for an abstract open book decomposition

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#differential-topology #geometric-topology #knot-theory #surgery-theory
44
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Jordan curves in compact subset in $\mathbb R^3$

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#general-topology #algebraic-topology #differential-topology #geometric-topology
343
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Closed Poincaré dual of the boundary of a closed manifold.

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#algebraic-topology #differential-topology #smooth-manifolds
38
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Derivations having local character

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#differential-topology
1.1k
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The Normal Bundle of a level set is trivial

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#differential-geometry #differential-topology #smooth-manifolds #fiber-bundles
139
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Diffeomorphism on $S^2$ to $S^2$ with at least two fixed points

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#differential-geometry #differential-topology #fixed-point-theorems #spheres
349
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Definition of Normal Bundle and little exercise

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#algebraic-topology #differential-topology #smooth-manifolds #fiber-bundles
980
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Regular values and maps of degree 0

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#differential-topology
300
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Atiyah-Singer index theorem

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#differential-topology #topological-k-theory #elliptic-operators
471
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idempotent bundle homomorphism has constant rank

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#differential-topology #vector-bundles
268
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Defining differentiability on a topological manifold

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#differential-geometry #manifolds #differential-topology
470
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Definition of Riemannian Metric

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#differential-geometry #terminology #differential-topology #riemannian-geometry
124
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Construct a diffeomorphism that extends the identity map

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#analysis #differential-geometry #differential-topology

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