thin double track

Definition 0.1.

Let us consider a square map $u:I^2⟶X$ in a topological space $X$. Then the homotopy class of $u$ relative to the boundary $\partial I^2$ of $I$ is called a double track. A double track is thin if it has a thin representative.

Title	thin double track
Canonical name	ThinDoubleTrack
Date of creation	2013-03-22 18:14:49
Last modified on	2013-03-22 18:14:49
Owner	bci1 (20947)
Last modified by	bci1 (20947)
Numerical id	7
Author	bci1 (20947)
Entry type	Definition
Classification	msc 55N33
Classification	msc 55N20
Classification	msc 55U40
Classification	msc 18D05
Synonym	double track
Related topic	GeometricallyAndorAlgebraicallyThinSquares
Related topic	HomotopyDoubleGroupoidOfAHausdorffSpace
Related topic	WeakHomotopyAdditionLemma
Related topic	HomotopyAdditionLemma
Defines	thin representattion