Classical and digital homotopy classes.

In this paper, we examine the relations between classical homotopy groups, digital fundamental groups of L. Boxer [6] , and digital homotopy classes on the digital wedge products of pointed digital diamond (or square) circles. We demonstrate that the classical homotopy groups of pointed functions from a wedge product of homotopy simple closed curves to itself may differ completely from the digital homotopy monoids consisting of the classes of NP u pointed homotopic functions from the digital wedge product of pointed digital diamond (or square) circles to itself under the κ -adjacency relations on Z 2 for κ = 4 , 8 and u ∈ { 1 , 2 }. [ABSTRACT FROM AUTHOR]