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15
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Uniqueness of smooth structures on submanifolds with boundary

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#smooth-manifolds #submanifold #manifolds-with-boundary #diffeomorphism
201
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Intuitive understanding of inward and outward vector definitions

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#differential-geometry #smooth-manifolds #manifolds-with-boundary
163
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Boundary Orientation

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#differential-geometry #differential-forms #orientation #manifolds-with-boundary
118
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Submanifold of ball is entire ball

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#manifolds #smooth-manifolds #manifolds-with-boundary
52
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Is the boundary of a set defined using a smooth function also smooth?

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#differential-geometry #manifolds-with-boundary
94
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Confusion about notation for orientation of boundary

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#notation #manifolds #definition #manifolds-with-boundary
19
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A Hilbert space which involves the boundary norm and interior norm?

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#functional-analysis #partial-differential-equations #manifolds-with-boundary
99
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Gluing two disks to get an exotic sphere

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#differential-geometry #spheres #manifolds-with-boundary
44
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Finishing proof concerning manifold boundary

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#general-topology #manifolds #geometric-topology #manifolds-with-boundary
74
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Let $M=(\mathbb{S}^2\times [0,1])/\sim$, where $(p,0)\sim (-p, 1)$. Prove that M is a compact, differentiable manifold. Is it orientable?

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#differential-topology #smooth-manifolds #manifolds-with-boundary #non-orientable-surfaces
30
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tangent vector of a disk embedded in R^3

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#geometry #differential-geometry #manifolds-with-boundary #tangent-spaces
112
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Boundary case of adapted orthonormal frame exercise in Professor Lee's Introduction to Riemannian Manifolds (IRM)

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#differential-geometry #riemannian-geometry #smooth-manifolds #manifolds-with-boundary #diffeomorphism
90
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Cutting a disk with piecewise analytic curves

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#complex-analysis #curves #connectedness #plane-curves #manifolds-with-boundary
61
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Intersection number of submanifolds with boundary

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#algebraic-topology #intersection-theory #submanifold #manifolds-with-boundary #poincare-duality
100
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Issue about the definition on orientation on manifolds

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#definition #differential-topology #smooth-manifolds #orientation #manifolds-with-boundary

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