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What does the notation $S^n$ mean?

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#general-topology #algebraic-topology #notation
39
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What are the difference of the two following definitions of homotopy equivalence and homoemoprhism?

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#general-topology #algebraic-topology
764
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three closed curves on torus

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#geometry #algebraic-topology
831
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Name for the number of edges we can delete so the graph is still connected

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#graph-theory #algebraic-topology
76
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Why are there topological no results on halfspace arrangements?

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#geometry #algebraic-topology #computational-geometry #combinatorial-geometry
885
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Applications of Chern class to gauge theories in physics

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#differential-geometry #algebraic-geometry #algebraic-topology #mathematical-physics #characteristic-classes
367
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What is a "formal" difference of vector bundles?

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#algebraic-topology #vector-bundles #topological-k-theory
830
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Question about Hopf invariant from Milnor

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#differential-geometry #algebraic-topology #differential-topology
136
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Let $\alpha:S^n\rightarrow S^n$ be the antipodal map. Why is $\alpha \not\simeq id$ if $n$ is even?

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#algebraic-topology #homotopy-theory
485
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Second Chern class classifies rank $r$ vector bundle over $S^4$?

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#differential-geometry #algebraic-geometry #algebraic-topology #mathematical-physics
37
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Constructing a surface cover explicitly given a set of generators

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#group-theory #algebraic-topology #geometric-topology
645
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Finite index subgroups of surface groups

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#group-theory #algebraic-topology #geometric-topology
346
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Naturality in the Adjoint Property of Tensor Products

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#algebraic-topology #category-theory #modules #tensor-products #adjoint-functors
50
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Basic confusion regarding definition of relative homology group $H_p(K;L)$

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#algebraic-topology #homology-cohomology
33
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Continuity of the module operations in the sheaf constructed out of a sheaf

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#differential-geometry #algebraic-topology #sheaf-theory

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