Abstract
LetX andY beT 1 topological spaces andG(X, Y) the space of all functions with closed graph. Conditions under which the Fell topology and the weak Fell topology coincide onG(X,Y) are given. Relations between the convergence in the Fell topologyτF, Kuratowski and continuous convergence are studied too. Characterizations of a topological spaceX by separation axioms of (G(X, R), τF) and topological properties of (G(X, R), τF) are investigated.
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Holá, Ľ., Poppe, H. Fell topology on the space of functions with closed graph. Rend. Circ. Mat. Palermo 48, 419–430 (1999). https://doi.org/10.1007/BF02844333
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DOI: https://doi.org/10.1007/BF02844333