nLab
equator

Contents

Context

Spheres

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

Manifolds and cobordisms

Contents

Idea

Given an n-sphere S nS^n, regarded under its standard embedding into Cartesian space n+1\mathbb{R}^{n+1}, then its equator is the intersection with n n+1\mathbb{R}^n \subset \mathbb{R}^{n+1}. This devides the nn-sphere into its to hemi-n-spheres.

Last revised on December 1, 2019 at 14:11:04. See the history of this page for a list of all contributions to it.