@techreport{lamarche:inria-00347424, TITLE = {{Homotopy in Cat via Paths and the Fundamental Groupoid of a Category}}, AUTHOR = {Lamarche, Fran{\c c}ois}, URL = {https://inria.hal.science/inria-00347424}, TYPE = {Research Report}, YEAR = {2008}, KEYWORDS = {homotopy theory ; fundamental groupoid ; path objec ; Quillen model structure. ; Quillen model structure}, PDF = {https://inria.hal.science/inria-00347424/file/HomotCat.pdf}, HAL_ID = {inria-00347424}, HAL_VERSION = {v1}, }