Addendum to the paper

Krzysztof Jan Nowak

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Displaying similar documents to “Addendum to the paper 'Decomposition into special cubes and its application to quasi-subanalytic geometry' (Ann. Polon. Math. 96 (2009), 65-74)”

Decomposition into special cubes and its applications to quasi-subanalytic geometry

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The main purpose of this paper is to present a natural method of decomposition into special cubes and to demonstrate how it makes it possible to efficiently achieve many well-known fundamental results from quasianalytic geometry as, for instance, Gabrielov's complement theorem, o-minimality or quasianalytic cell decomposition.

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CONTENTS1. Introduction and statement of the results........................52. Lipschitz vector fields and stratifications.........................93. Generalized normal partitions.......................................104. Regular projections.......................................................135. Quasi-wings..................................................................17 A. Selection of quasi-wings..............................................18 B. Lifting of quasi-wings...................................................18 C....

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A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.

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