Title: Compact dwarf galaxies with the GMOS-IFU and NGVS: testing the continuity hypothesis Abstract: Dwarf early-type galaxies in clusters are believed to evolve through strong interactions with their environment: from ram-pressure stripping to tidal stripping and gravitational harassment. It is, however, not clear yet how these systems link with their more massive counter-parts and their associated formation and evolutionary processes (e.g., hierarchical merging, cold gas accretion, etc). I will present a detailed study of the kinematics and stellar populations for a sample of low-mass (M(stars)~10^8-10^9 M(sun)) compact (Re~170-750 pc) galaxies in the Virgo cluster, observed with the Gemini GMOS-IFU. Analysed jointly with deep images from the New Generation Virgo Survey (NGVS), I will show the diversity of structures which points towards a complex environmental history, from close-pairs to groups and companions of more massive galaxies. I will also emphasise the variation with compactness of their basic characteristics such as their star formation history, and provide strong hints for a continuity of properties with mass, size and environment across the full range of galaxy mass, from the dwarfs to the more massive galaxies.