2005Annales Polonici MathematiciOpen access

The Łojasiewicz exponent of subanalytic sets

Stanisław Spodzieja

Open full text 19 citations

Abstract

We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic

Open-access reader

About this research paper

What this paper is about

We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic

Why it matters

OpenAlex reports 19 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic

Key concepts: Exponent, Mathematics, Infimum and supremum, Point (geometry), Separation (statistics), Combinatorics, Statistics, Geometry

Related papers

Back to paper searchBrowse research topicsOriginal source
The Łojasiewicz exponent of subanalytic sets — Research Paper | ScholarLens