nLab level set

Contents

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Contents

Idea

Given a function f:XKf \colon X \to K where KK is a ring or field or abelian group or possibly anything else, and given an element cKc \in K, then the level set of ff at cc in XX is the preimage f 1(c)Xf^{-1}(c) \in X.

For c=0c = 0 this is the zero locus.

Last revised on May 26, 2022 at 11:18:24. See the history of this page for a list of all contributions to it.