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Approximate continuity and topological Boolean algebras
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Jan Haluska
Published/Copyright:
September 25, 2009
Abstract
In this paper we describe a net limit method for constructing topologies on given Boolean algebras. If functions in this limit procedure are monotone and approximately continuous in a generalized sense, then the obtained process is recursive.
Keywords: submeasure; approximately continuous functions; net convergence of functions; topological Boolean algebras
Published Online: 2009-09-25
Published in Print: 2009-04
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Keywords for this article
submeasure;
approximately continuous functions;
net convergence of functions;
topological Boolean algebras
Articles in the same Issue
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
