# Sitting instants

## Definition

A continuous map $f\colon X \to Y$ from a manifold with boundary to a space $Y$ is said to have sitting instants if there is an open neighbourhood $\partial X \subset U \subset X$ of the boundary such that the restriction $f|_U$ of $f$ to that neighbourhood is locally constant? (constant on each connected component).

Revised on April 21, 2012 23:58:46 by Toby Bartels (108.167.17.117)