Wintner had worked at Johns Hopkins since 1930, the year before van Kampen arrived, and his interests were in almost-periodic functions and differential equations. The van Kampen theorem allows us to compute the fundamental group of a space from information about the fundamental groups of the subsets in an open cover and there in- tersections. In 1935 van Kampen began to work in a different area of mathematics when he became interested in the work which Wintner was undertaking. The Seifert–Van Kampen theorem [S, VK] says how to decompose the fundamental group of a space in terms of the fundamental groups of the con- stituents of an open cover of the space.

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