In [P. Brandi - R. Ceppitelli, Appl. Analysis 53 (1994) 185-196; 67 (1997) 73-88 ] 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 [K. Back, J. Math. Economics, 15 (1986) 129-142] and for convergence of dynamic programming models [K. J. Langen, Mathematics and Operations Research, 6 (1981) 493-512].
Topological properties of a new graph topology
BRANDI, Primo;CEPPITELLI, Rita;
1999
Abstract
In [P. Brandi - R. Ceppitelli, Appl. Analysis 53 (1994) 185-196; 67 (1997) 73-88 ] 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 [K. Back, J. Math. Economics, 15 (1986) 129-142] and for convergence of dynamic programming models [K. J. Langen, Mathematics and Operations Research, 6 (1981) 493-512].File in questo prodotto:
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