Suárez Granero, AntonioJiménez Sevilla, María Del MarMoreno, José Pedro2023-06-202023-06-2020040213-8743https://hdl.handle.net/20.500.14352/50737In section 1 we present definitions and basic results concerning the Mazur intersection property (MIP) and some of its related properties as the MIP* . Section 2 is devoted to renorming Banach spaces with MIP and MIP*. Section 3 deals with the connections between MIP, MIP* and differentiability of convex functions. In particular, we will focuss on Asplund and almost Asplund spaces. In Section 4 we discuss the interplay between porosity and MIP. Finally, in section 5 we are concerned with the stability of the (closure of the) sum of convex sets which are intersections of balls and with Mazur spaces.engjournal articlehttp://www.eweb.unex.es/eweb/extracta/restricted access512Convex bodiesBinary intersection propertyMazur setsMazur spacesMazur intersection propertyPolyhedral normsStonean compact spacesPorosity.Álgebra1201 Álgebra