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On the Topology and Future Stability of the Universe$
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Hans Ringström

Print publication date: 2013

Print ISBN-13: 9780199680290

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199680290.001.0001

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Concepts of convergence

Concepts of convergence

(p.260) 17 Concepts of convergence
On the Topology and Future Stability of the Universe

Hans Ringström

Oxford University Press

When proving local existence of solutions, it is natural to solve a sequence of related linear equations. The goal is then to prove that the sequence converges to a solution to the nonlinear problem at hand. In the context of such an argument, various notions of convergence arise, and we discuss some of them in Chapter 17.

Keywords:   convergence, local existence, sequences of solutions

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