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Haar Measure for Algebraic Number Theory: What Should I Know?

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#measure-theory #reference-request #algebraic-topology #algebraic-number-theory #class-field-theory
148
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For compact surface $M$ and loop $f$ there exists a surjection $\phi: H_1(M) \to \mathbb{Z}/8\mathbb{Z}$ such that $f \notin \ker(\phi)$

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#algebraic-topology #surfaces #fundamental-groups #loop-spaces
220
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Cw complex $\Sigma_g$

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#general-topology #geometry #algebraic-topology #surfaces #cw-complexes
2.3k
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Wedge Sum of Two Spheres Homotopy Equivalent to a Compact Manifold?

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#algebraic-topology #manifolds #homology-cohomology
1.5k
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How do Homology Groups work

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#algebraic-topology #homology-cohomology
139
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A problem I met when reading Griffiths'Periods of Integrals on Algebraic Manifolds I

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#algebraic-geometry #algebraic-topology
151
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An equivalence class is open in the basis of a covering map.

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#algebraic-topology
67
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Isotropy groups of tetrahedron after identifying its sides

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#group-theory #algebraic-topology
164
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A question on fixed point property

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#algebraic-topology #fixed-point-theorems
284
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How an empty set is collapsed to a point?

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#algebraic-topology #dynamical-systems #homotopy-theory #morse-theory
252
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Euler class of quotient bundle of real projective space

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#algebraic-topology #vector-bundles
199
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Fundamental Group of the special Euclidean matrix group of the plane

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#algebraic-topology
291
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Filling the details of a construction via clutching function of a Vector Bundle

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#algebraic-topology #topological-k-theory
434
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Null homotopic by simplicial approximation

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#algebraic-topology #simplicial-stuff
4k
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Definition of the algebraic intersection number of oriented closed curves.

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#differential-geometry #algebraic-topology #homotopy-theory #surfaces #homology-cohomology

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