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Does a self map from the wedge sum of two spheres have either a fixed point or a point of period 2?
Placing numbers $1,2,\ldots,n^3$ in a cube so that numbers of any two adjacent unit subcube are coprime
Computing a cobordism group of manifolds endowed with a real vector bundle with constraints on the Stiefel-Whitney classes
Pontryagin numbers on manifolds with an $S^1$-action
Cobordism modulated by a cohomology operation