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15
44
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Manifolds with a prescribed number of exotic structures

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#differential-topology #smooth-manifolds #geometric-topology
61
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For any $2-$d shape, can (at least) half its area be filled up with finitely many disjoint discs of the same size?

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#general-topology #examples-counterexamples #area #geometric-topology #packing-problem
268
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Continuity of map defined on cylinder check

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#general-topology #geometry #algebraic-topology #geometric-topology
43
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Prove that the complement of a simple embedded graph $G$ is not embeddable on an orientable surface of genus $g$

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#geometry #graph-theory #geometric-topology #planar-graphs
55
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A prime orientable 3-manifold containing a nonseparating 2-sphere is homeomorphic to $S^2\times S^1 $.

Published on
#manifolds #geometric-topology #manifolds-with-boundary
39
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Generalization of Euler's formula for graphs embedded on surfaces of higher genus

Published on
#geometry #geometric-topology
131
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Examples using this long exact sequence of cohomology

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#algebraic-topology #homological-algebra #geometric-topology #cw-complexes #mayer-vietoris-sequence
75
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Show that continuity-preserving maps are homeomorphisms

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#general-topology #geometric-topology #general-relativity
40
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Algorithm to recognize spherical abstract polytopes

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#algebraic-topology #geometric-topology #computational-geometry #cw-complexes #polytopes
89
Views

Existence of non-vanishing section of normal bundle (codimension $\geq 2$)

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#general-topology #algebraic-topology #riemannian-geometry #geometric-topology #characteristic-classes
50
Views

For an explicit mapping $S^m\to S^6$ for $m<12$, how can we understand whether it is homotopy zero?

Published on
#homotopy-theory #geometric-topology #higher-homotopy-groups
1.7k
Views

What is the formal definition of a hole?

Published on
#definition #geometric-topology
107
Views

What is the Jones Polynomial for the Borromean Link?

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#algebraic-topology #geometric-topology #knot-theory #knot-invariants
105
Views

Why do $2g+1$ distinct closed curves separate a compact orientable surface of genus $g$?

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#algebraic-topology #geometric-topology #low-dimensional-topology
50
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Can a Lie group act transitively on a geometrically finite hyperbolic manifold?

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#differential-geometry #riemannian-geometry #lie-groups #geometric-topology #hyperbolic-geometry

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