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Jun 10, 2015 at 10:16 comment added Philippe Gaucher Cubical homotopy is only a beginning for the author above :-). It is preferrable to start from the bibliography of this book : pages.bangor.ac.uk/~mas010/nonab-a-t.html. In particular the book Kamps, K. H., and Porter, T., Abstract homotopy and simple homotopy theory. World Scientific Publishing Co. Inc., River Edge, NJ (1997) which explores the subject very well. Unfortunately, it is not available on the Web.
May 17, 2010 at 12:12 history answered Urs Schreiber CC BY-SA 2.5