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Mathematical Sciences Seminar - Embedding simply connected 2-complexes in 3-space

When:
Venue: Birkbeck Main Building, Malet Street

No booking required

A classical theorem of Kuratowski characterises graphs embeddable in the plane by two obstructions. More precisely, a graph is planar if and only if it does not contain the complete graph K_5 or the complete bipartite graph K_{3,3} as a minor. Can you characterise embeddability of 2-dimensional simplicial complexes in 3-space in a way analogous to Kuratowski’s characterisation of graph planarity?

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