Department of Mathematics, University of Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy, e-mail: email@example.com and Department of Mathematics, University of Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy, firstname.lastname@example.org and Academy of Sciences, Institut of Mathematics, Stefanikova 49, 81 473 Bratislava, Slovakia, email@example.com
Abstract: In [10, 11, 12] a new graph topology $\tau$ was introduced which is useful in applications to differential equations. In this paper we study topological properties of $\tau$ and relations between $\tau$ and other known topologies. For example, we find conditions under which $\tau$ coincides with Back's generalized compact-open topology successfully used for convergence of utility functions  and for convergence of dynamic programming models .
Keywords: Kuratowski convergence, $\tau$-convergence, Back's convergence
Classification (MSC2000): 54C35, 54B20, 34K05
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