TY - JOUR AU - Durand-Cartagena, Estibalitz AU - Jaramillo Aguado, Jesús Ángel AU - Shanmugalingam, Nageswari PY - 2016 DO - 10.5565/PUBLMAT_60116_04 SN - 0214-1493 UR - https://hdl.handle.net/20.500.14352/22979 T2 - Publicacions Matem�tiques AB - We prove that a locally complete metric space endowed with a doubling measure satisfies an infinity-Poincare inequality if and only if given a null set, every two points can be joined by a quasiconvex curve which "almost avoids" that set. As an... LA - spa M2 - 81 PB - Universitat Aut�noma de Barcelona KW - p-Poincare inequality KW - metric measure space KW - thick quasiconvexity KW - quasiconvexity KW - singular doubling measures in R KW - Lip-lip condition TI - Geometric characterizations of p-Poincaré inequalities in the metric setting TY - journal article VL - 60 ER -