ladder connected

Definition Suppose X is a topological spaceMathworldPlanetmath. Then X is called ladder connected provided that any open cover 𝒰 of X has the following property: If p,qX, then there exists a finite number of open sets U1,,UN from 𝒰 such that pU1, U1U2, , UN-1UN, and qUN.

Title ladder connected
Canonical name LadderConnected
Date of creation 2013-03-22 14:00:29
Last modified on 2013-03-22 14:00:29
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 6
Author mathcam (2727)
Entry type Definition
Classification msc 54-00
Related topic CharacterizationOfConnectedCompactMetricSpaces