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Louis Nel
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Louis Nel: Carleton University, School of Mathematics and Statistics

Chapter Chapter 1 in Continuity Theory, 2016, pp 1-16 from Springer

Abstract: Abstract Continuity theory serves as infrastructure for more specialized mathematical theories such as ordinary differential equations, partial differential equations, integral equations, operator theory, dynamical systems, and global analysis. The infrastructure includes creation of new spaces out of given ones, extension theorems, existence theorems, inversion theorems, approximation theorems, factorization theorems, adjunctions (e.g., exponential laws), and (local) representation theorems. So it embodies a great variety of possible topics. The present book, while deliberately not encyclopedic, does include a systematic study of linear continuity—enough to provide a foundation for functional analysis (the linear part of continuity theory).

Keywords: Topological Space; Continuity Theory; Topological Vector Space; Adjoint Functor; Optimal Embedding (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31159-3_1

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DOI: 10.1007/978-3-319-31159-3_1

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