Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

P. Brandi

Dip. di Matematica, Università de Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy

R. Ceppitelli

Dip. di Matematica, Università de Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy

L. Holá

Academy of Sciences, Institute of Mathematics, Štefánikova 49, 81473 Bratislava, Slovakia

Keywords

  • Kuratowski convergence
  • tau-convergence
  • Back's convergence

Mathematics Subject Classification

54C35; 54B20, 34K05

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Suggested citation

P. Brandi, R. Ceppitelli, L. Holá. “Topological Properties of a New Graph Topology.” Journal of Convex Analysis 6 (1999), No. 1, 29–40. https://doi.org/10.68381/jca06003

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Published by Heldermann Verlag, 1999. Rights now held by Banach Press LLC.