Gupta, AnkitSarma, Ratna Dev2017-10-192017-10-192017-10-021576-9402https://riunet.upv.es/handle/10251/89588[EN] Function space topologies are investigated for the class ofcontinuousmultifunctions. Using the notion of continuous convergence, splitting-ness and admissibility are discussed for the topologies on continuousmultifunctions. The theory of net of sets is further developed for thispurpose. The(τ,μ)-topology on the class of continuous multifunctionsis found to be upper admissible, while the compact-open topology isupper splitting. The point-open topology is the coarsest topology whichis coordinately admissible, it is also the finest topology which is coor-dinately splitting.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)MultifunctionTopologyFunction spaceContinuous convergenceSplittingnessAdmissibilityArtículo2017-10-1910.4995/agt.2017.7149Abierto1989-4147