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Mapping class group of $S^p \times S^q$

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#general-topology #differential-topology #homology-cohomology #geometric-topology #mapping-class-group
45
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Ordering of submanifolds in a $d$-sphere $S^d$ or $\mathbb{R}^d$

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#general-topology #manifolds #differential-topology #homology-cohomology #geometric-topology
115
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How to arrive at an equation of a Roman surface from three points (a triangle)

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#general-topology #algebraic-geometry #algebraic-topology #geometric-topology #non-orientable-surfaces
1.6k
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Prove that an open interval (0,1) and a closed interval [0,1] are not homeomorphic.

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#general-topology #geometric-topology
297
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Decomposing surfaces into pairs of pants

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#general-topology #surfaces #geometric-topology
87
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A new gauge field [Cech 1-cocycle] acts a symmetry by multiplying itself to transition functions

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#differential-geometry #mathematical-physics #geometric-topology #fiber-bundles #gauge-theory
234
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On Manifolds: TOP, PDIFF, DIFF, PL

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#general-topology #manifolds #geometric-topology
149
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Atiyah-Hitchin-Singer on real algebraic bundles on $P_3(C)$

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#algebraic-topology #geometric-topology #fiber-bundles
45
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An $n \times n$ matrix $A$ naturally induces a mapping on $Grass(p,n)$

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#linear-algebra #general-topology #geometric-topology
440
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Integral class mod 2 reduction, and Stiefel Whitney class

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#algebraic-topology #differential-topology #homology-cohomology #geometric-topology #characteristic-classes
63
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Does a circle give the largest smallest distance between two points that bisecting the perimeter

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#geometry #geometric-topology #combinatorial-geometry
583
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Manifolds whose boundaries are real / complex projective spaces

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#general-topology #manifolds #geometric-topology #projective-space
80
Views

Integral cohomology class associated to trefoil knots

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#algebraic-topology #differential-topology #homology-cohomology #geometric-topology #knot-theory
46
Views

Generalisation of elementary result for embedded surfaces

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#differential-geometry #surfaces #geometric-topology #knot-theory
154
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Is the direct limit of a system of null-homotopic inclusions weakly contractible?

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#general-topology #algebraic-topology #geometric-topology

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