On the Kuratowski convergence of analytic sets

Maciej P. Denkowski; Rafał Pierzchała

Displaying similar documents to “On the Kuratowski convergence of analytic sets”

On Sandwich Theorem of Analytic Functions Involving Integral Operator

Aouf, M. K., Shamandy, A., Mostafa, A. O., Madian, S. M. (2011)

Mathematica Balkanica New Series

Similarity:

2000 Mathematics Subject Classification: 30C45

Some applications of generalized condensers in the theory of analytic functions.

Dubinin, V.N., Èĭrikh, N.V. (2004)

Zapiski Nauchnykh Seminarov POMI

Similarity:

Analytic and C-analytic functions.

Jovan D. Keckic (1969)

Publications de l'Institut Mathématique [Elektronische Ressource]

Similarity:

On some properties of analytic functions

Tsin-Hwa Shu (1961)

Annales Polonici Mathematici

Similarity:

A generalised Mazurkiewicz-Sierpiński theorem with an application to analytic sets

R. M. Shortt (1987)

Colloquium Mathematicae

Similarity:

Algebraic approximation of analytic sets definable in an o-minimal structure

Marcin Bilski, Kamil Rusek (2010)

Annales Polonici Mathematici

Similarity:

Let K,R be an algebraically closed field (of characteristic zero) and a real closed field respectively with K=R(√(-1)). We show that every K-analytic set definable in an o-minimal expansion of R can be locally approximated by a sequence of K-Nash sets.

Some criteria for the multivalence of certain analytic functions

Maxwell O. Reade, Toshio Umezawa (1967)

Colloquium Mathematicae

Similarity:

Stable families of analytic sets

Pandelis Dodos (2003)

Colloquium Mathematicae

Similarity:

We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.

Separation of global semianalytic sets

Hamedou Diakite (2009)

Annales Polonici Mathematici

Similarity:

Given global semianalytic sets A and B, we define a minimal analytic set N such that Ā∖N and B̅∖N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.