Journal of Convex Analysis 06 (1999), No. 1, 029--040
Copyright Heldermann Verlag 1999
Topological Properties of a New Graph Topology
P. Brandi
Dip. di Matematica, Universitą de Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy
R. Ceppitelli
Dip. di Matematica, Universitą de Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy
L. Holį
Academy of Sciences, Institute of Mathematics, Stefanikova 49, 81473 Bratislava, Slovakia
In recent papers of the authors a new graph topology τ was introduced which is useful in applications to differential equations. In this paper we study topological properties of τ and relations between τ and other known topologies. For example, we find conditions under which τ coincides with Back's generalized compact-open topology successfully used for convergence of utility functions and for the convergence of dynamic programming models.
Keywords: Kuratowski convergence, tau-convergence, Back's convergence.
MSC: 54C35; 54B20, 34K05
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