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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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Embedded spheres in the K3 surface

As far as I know, this is an open question. It seems quite reasonable that such a surface should exist, but off the top of my head I'm not quite sure how you would construct something like that. In ge …
Nsunuk's user avatar
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