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5. $\times$-homotopy theory

    1. Higher homotopy groups


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      Problem 5.1.

      In $\times$-homotopy theory, what are the higher homotopy groups?
          A proposal was given during the workshop by one of the groups.

        • Homology theory for graphs with loops


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          Problem 5.2.

          Is there a good homology theory for graphs with loops? How does it interact with homotopy groups of graphs with loops (which also need to be defined). Does it satisfy a variant Eilenberg-Steenrod axioms?
              One approach discussed during the workshop was to take homology of $Hom(K_2, X)$.

              Cite this as: AimPL: Discrete and combinatorial homotopy theory, available at http://aimpl.org/combhomotop.