# thin double track

###### Definition 0.1.

Let us consider a square map $u:I^{2}\longrightarrow X$ 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