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the quotien space of $ S^1\times S^1$

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#general-topology #algebraic-topology #homology-cohomology #homotopy-theory
415
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Is quotient bundle isomorphic to the orthogonal complement?

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#linear-algebra #algebraic-topology #vector-bundles
71
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Can $X=SO(n)\setminus\{I_n\}$be homeomorphic to or homotopic equivalent to product of spheres?

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#general-topology #algebraic-topology #homology-cohomology #homotopy-theory
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Hatcher Exercise 3.2.11

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#algebraic-topology
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Klein bottle and torus in mod $p$ homology

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#algebraic-topology #homology-cohomology #surfaces #klein-bottle
253
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Why homology is dual to cohomology? Action of dual to Steenrod algebra

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#algebraic-topology
135
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Why do $S^1 \wedge - $ and $Maps(S^1,-)$ form a Quillen adjunction?

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#algebraic-topology #homotopy-theory #model-categories
119
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Finite covers of handlebodies?

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#algebraic-topology #differential-topology #geometric-topology
489
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Why is the quintic in $\mathbb{CP}^4$ simply connected?

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#algebraic-geometry #algebraic-topology #complex-geometry
85
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Homology with Abelian Group Coefficients: What does (-1) mean?

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#algebraic-topology #notation
263
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How does abelianization work in defining homology?

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#algebraic-topology #homology-cohomology #abelian-groups
144
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Are there analogues to orthogonal transformations in non-orientable surfaces?

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#general-topology #algebraic-topology #topological-vector-spaces #image-processing #wavelets
547
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Involution of the 3 and 4-holed torus and its effects on some knots and links

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#algebraic-topology #surfaces #knot-theory #involutions
550
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Simplicial complex underlying space homeomorphic to torus/klein bottle

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#algebraic-topology #triangulation #simplicial-complex #klein-bottle
706
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Prove that the projection from a square to a torus is not open

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#abstract-algebra #general-topology #algebraic-topology

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