TY - GEN AU - Ortega, Eduard AU - Pardo Espino, Enrique A4 - Matemáticas PY - 2019 UR - http://hdl.handle.net/10498/21381 AB - We fix a path model for the space of filters of the inverse semigroup S_Λ associated to a left cancellative small category Λ. Then, we compute its tight groupoid, thus giving a representation of its C-algebra as a (full) groupoid algebra. Using it, we... LA - eng PB - arXiv.org KW - Left cancellative small category KW - inverse semigroup KW - tight representation KW - tight groupoid KW - groupoid C-algebra TI - The tight groupoid of the inverse semigroups of left cancellative small categories ER -