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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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Early illustrations of topological notions in published work

See page 9 and 10 of Riemann’s 1857 paper on abelian functions (where he introduced Riemann surfaces): https://www.maths.tcd.ie/pub/HistMath/People/Riemann/AbelFn/AbelFn.pdf I believe the illustratio …
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