Isomorphism of Measure Spaces: Difference between revisions
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===Smooth maps send sets of measure zero to sets of measure zero=== | ===Smooth maps send sets of measure zero to sets of measure zero=== | ||
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> | |||
===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
- f\colon \mathbb{R}^n \rightarrow \mathbb{R}^m</math>