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What is the maximal torus in the Lorentz group $O(m,n)$?

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#algebraic-topology #group-theory #matrices #lie-groups
1.6k
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Calculate the Wu class from the Stiefel-Whitney class

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#algebraic-topology #characteristic-classes #cohomology-operations
117
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Explicit expression for 1-forms which produce, by exterior derivative, a given 2-form in DR-cohomology for twice punctured plane

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#algebraic-topology
46
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what is the natural map from BP to $HF_p$?

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#algebraic-topology #spectral-sequences
69
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various definition of connected

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#algebraic-topology
1.5k
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Does the Euler characteristic of a manifold depend upon the field of coefficients?

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#general-topology #algebraic-topology #geometric-topology
644
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notation used in algebraic topology

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#algebraic-topology #notation
218
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extending maps from spaces to their whitehead towers

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#algebraic-topology #homotopy-theory #fiber-bundles #principal-bundles #fibration
127
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Help proving a space is closed in order to show a space is properly discontinuous

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#algebraic-topology #covering-spaces
92
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Why the Objects of Homotopy Category not Homotopy Classes of Spaces?

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#algebraic-topology #homotopy-theory
4.8k
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Homology of knot complement

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#algebraic-topology #homology-cohomology #knot-theory
49
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Why is $S_{\ast}\left(X,A\right)$ free?

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#algebraic-topology #homological-algebra
5.5k
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Homology of real projective space... I'm not satisfied with the argument in hatcher.

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#algebraic-topology
365
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Homology subgroups generated by non-intersecting cycles

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#algebraic-topology #surfaces #homology-cohomology
184
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In the Universal Coefficient Theorem, how does the cohomology generator relate to the homology generators?

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#algebraic-topology #homological-algebra #homology-cohomology

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