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in the keywords:  set theory, point-set topology, surface topology, mathematics at the edge of XIX and XX centuries, history of complex analysis, University of Lvov, Józef Puzyna
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The article highlights certain aspects of the set theory and topology in Puzyna’s work Theory of analytic functions (1899, 1900). In particular, the following notions are considered: derivative of a set, cardinality, connectedness, accumulation point, surface, genus of surface.
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