Isomorphism of Measure Spaces: Difference between revisions
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Let </math> U </math> be an open set of | Let </math> U </math> be an open set of | ||
:f\colon \mathbb{R}^n \rightarrow \mathbb{R}^m</math> | : </math> f\colon \mathbb{R}^n \rightarrow \mathbb{R}^m</math> | ||
===Mini-Sards Theorem=== | ===Mini-Sards Theorem=== | ||
==Example== | ==Example== | ||
Revision as of 07:51, 18 December 2020
Motivation
Definition
Basic Theorem
Properties
Smooth maps send sets of measure zero to sets of measure zero
Let </math> U </math> be an open set of
- </math> f\colon \mathbb{R}^n \rightarrow \mathbb{R}^m</math>