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Möbius strips with 3 twists to make a Klein bottle

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#general-topology #geometry #mobius-band #klein-bottle #non-orientable-surfaces
206
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Is the Poincaré dual of the first Stiefel-Whitney class of a manifold necessarily orientable?

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#algebraic-topology #characteristic-classes #non-orientable-surfaces
849
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I'm looking for a proof for the Euler Characteristic of non-orientable surfaces, $χ=2−k$

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#general-topology #non-orientable-surfaces
124
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Rational cohomology of punctured closed non-orientable manifold.

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#algebraic-topology #manifolds #homology-cohomology #non-orientable-surfaces
31
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Is there a way to compute the orientability of a surface embedded in 3D and represented by a collection of datapoints?

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#geometry #algorithms #low-dimensional-topology #non-orientable-surfaces
187
Views

Minimum number of closed simple curves that separates a surface

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#general-topology #surfaces #geometric-topology #non-orientable-surfaces
138
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Orientability and blow-ups

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#differential-geometry #algebraic-geometry #blowup #non-orientable-surfaces
115
Views

Show that $\mathbb RP^n$ with the standard smooth structure is orientable if and only if $n$ is odd

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#differential-geometry #jacobian #orientation #non-orientable-surfaces
449
Views

Proving $\mathbb{R}P^n$ is orientable if and only if $n$ is odd.

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#differential-geometry #manifolds #projective-space #orientation #non-orientable-surfaces
195
Views

Does every surface admit a quadrangulation?

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#general-topology #manifolds #surfaces #triangulation #non-orientable-surfaces
75
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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
35
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Orientable surface $M\subset\mathbb{R^{m+n}}$ such that has no normal linearly independent vector fields

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#real-analysis #manifolds #surfaces #non-orientable-surfaces
137
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Topology of Mobius Strip

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#algebraic-topology #mobius-band #non-orientable-surfaces
71
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An example of a non hausdorff space

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#general-topology #algebraic-topology #manifolds #poincare-duality #non-orientable-surfaces
92
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Non-orientable surface in math meme

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#soft-question #non-orientable-surfaces

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