Blowing-up of locally monomially foliated space

TL;DR

This paper proves that the process of blowing-up preserves the local monomial structure of foliated spaces, ensuring stability of this property under certain geometric transformations.

Contribution

It introduces a proof that blowing-up operations maintain the local monomiality of foliated spaces, a result not previously established.

Findings

Blowing-up preserves local monomiality.

The property is stable under blow-up transformations.

Provides a foundation for further geometric analysis of foliated spaces.

Abstract

In this paper, we prove that the blowing-up preserve the local monomiality of foliated space.