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

Krzysztof Jan Nowak (2009)

Annales Polonici Mathematici

Similarity:

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.

Versatile asymmetrical tight extensions

Olivier Olela Otafudu, Zechariah Mushaandja (2017)

Topological Algebra and its Applications

Similarity:

We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.

Lipschitz equisingularity

Tadeusz Mostowski

Similarity:

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....

Quasi-linear maps

D. J. Grubb (2008)

Fundamenta Mathematicae

Similarity:

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.