Some Topology

Daniel Alpay
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Daniel Alpay: Ben-Gurion University of the Negev, Department of Mathematics

Chapter Chapter 15 in A Complex Analysis Problem Book, 2016, pp 529-543 from Springer

Abstract: Abstract Topology intervenes in complex variables at various levels. First of all analytic functions are defined in open sets. Connectedness plays a key role in the proof of the uniqueness theorem for analytic functions. The space of functions analytic in an open set is endowed with the topology of uniform convergence on compact sets.

Date: 2016
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DOI: 10.1007/978-3-319-42181-0_15

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