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Results tagged with gt.geometric-topology
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user 118450
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
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Proofs where higher dimension or cardinality actually enabled much simpler proof?
Given that you asked about planar graph : In graph theory, there is the Heawood conjecture proven in 1968 by Ringel and Youngs:
If a graph $G$ has genius $g>0$ then
$$ \chi(G)\leq \left\lfloor …