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How to compute Euler characteristic from polygonal presentation?

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#algebraic-topology
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boundary of $M \times I$ where $M$ is the Möbius band

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#general-topology #algebraic-topology
369
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differential forms and orientation in Bott and Tu

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#differential-geometry #algebraic-topology #differential-forms
491
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Monodromy representation of Airy equation

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#complex-analysis #ordinary-differential-equations #differential-geometry #algebraic-topology #covering-spaces
110
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Understanding definition of properly discontinuous action

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#algebraic-topology
120
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Determine if these spaces are connected, Hausdorff, or compact.

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#general-topology #algebraic-topology
666
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How do you construct the lifted topology of a groupoid cover?

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#algebraic-topology #category-theory #groupoids
133
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Questions about van Kampen's theorem.

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#real-analysis #general-topology #analysis #algebraic-topology
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Fundamental group of torus by van Kampens theorem

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#calculus #real-analysis #general-topology #analysis #algebraic-topology
89
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Does there exist a "Möbius cloth"?

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#algebraic-topology
558
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Using the Hodge theorem to decompose the metric tensor

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#differential-geometry #algebraic-topology #riemannian-geometry #mathematical-physics
662
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Associative property of free product of groups

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#group-theory #algebraic-topology
194
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Generalizing the Hopf invariant to arbitrary manifolds

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#reference-request #algebraic-topology #differential-topology #differential-forms
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Fundamental groups and some properties

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#real-analysis #general-topology #analysis #algebraic-topology
336
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Degree of a restriction of a continuous map?

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#general-topology #algebraic-topology

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