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Connected components of regular fibers of differentiable maps
Preview AbstractFor a map between smooth manifolds, the space of the connected components of its fibers is called the Stein factorization. In our previous paper, we showed that for generic smooth maps, the Stein factorizations are triangulable. As an application, we show that every connected component of a regular fiber is null-cobordant if the top dimensional homology of the Stein factorization vanishes.