Lecture

Manifolds: Charts and Compatibility

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In course

MATH-494: Topics in arithmetic geometry

P-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applications, notably we will prove rationality of the Weil Ze ...

Description

This lecture covers the concept of manifolds, focusing on charts and their compatibility. It explains how charts define the topology of a manifold and how to ensure compatibility between different charts. The lecture also discusses the notion of submanifolds and the importance of smooth analytic equations in defining them.

Official source

Ontological neighbourhood

Mathematics

Topology: General topology

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