Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2403.09656

Sur l'article On some ideals of differentiable functions

Bernard Teissier
View original source ↗Read source document ↗Export metadata ↓

Abstract

This text is a commentary on the paper "On some ideals of differentiable functions" of Ren{é} Thom which appeared in Volume II of his "Oeuvres Math{é}matiques" published by the Soci{é}t{é} math{é}matique de France, s{é}rie "Documents Math{é}matiques", in 2019.

Explore related subjects

math.HO

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Bernard Teissier. 2023-12-05. Sur l'article On some ideals of differentiable functions. https://arxiv.org/abs/2403.09656

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Come for the vibe, stay for the math

This article describes our experiences in mathematical outreach over the past decade. We talk about specific activities, but also general principles that we've learned along the way.

math.HO↗
arXiv2026

From foundations to applications: reverse mathematics and philosophy

Reverse mathematics is a branch of mathematical logic dedicated to determining the minimal set existence principles necessary and sufficient to derive ordinary mathematical theorems about concrete structures like the real line. Since the mid-1970s, reverse mathematics has developed a systematic classification of the strength of theorems in areas of mathematics ranging from real and complex analysis to infinitary combinatorics. This essay will place reverse mathematics in its historical and philosophical context, and reveal its relevance to central issues in the philosophy of mathematics, from the foundational programmes of Hilbert and Brouwer to contemporary debates about realism, determinacy, and applicability of mathematics. In doing so, it will discuss the role of computability theory in measuring the strength of set existence principles, as well as related questions about idealisation when these principles are applied in the physical sciences and in philosophy.

math.HO↗