Reverse Mathematics for Analysis: Key Concepts & Insights | Lecture 4 📚
Join Keita Yokoyama in this insightful lecture from the Summer School on Reverse Mathematics, exploring foundational ideas and new paradigms in analysis. Perfect for enthusiasts and students alike!
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
25 views • Aug 4, 2025
About this video
This lecture was part of the Summer School on "Reverse Mathematics: New Paradigms." held at the ESI July 28 - August 1, 2025.
In this course, we will start by reviewing the "big five" and other subsystems of second-order arithmetic, along with their basic properties. Then, we will establish the definitions of open/closed sets and continuous functions for Polish spaces. With these set-ups, we will study in some reverse mathematics for basic analysis. If time permits, we will extend the definitions of functions on Polish spaces to explore additional topics in analysis.
In this course, we will start by reviewing the "big five" and other subsystems of second-order arithmetic, along with their basic properties. Then, we will establish the definitions of open/closed sets and continuous functions for Polish spaces. With these set-ups, we will study in some reverse mathematics for basic analysis. If time permits, we will extend the definitions of functions on Polish spaces to explore additional topics in analysis.
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Views
25
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1
Duration
58:27
Published
Aug 4, 2025
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