Dislocated Topologies
نویسندگان
چکیده
We study a generalized notion of topology which evolved from applications in the area of logic programming semantics The generalization is obtained by relaxing the requirement that a neighbourhood of a point includes the point itself and by allowing neighbourhoods of points to be empty We show that it is meaningful to discuss neighbourhoods convergence and continuity in these spaces A generalized version of the Banach contraction mapping theorem can also be established We will also show how the generalized metrics studied here can be obtained from conventional metrics
منابع مشابه
Dislocated Topologies 1
We study a generalized notion of topology which evolved from applications in the area of logic programming semantics. The generalization is obtained by relaxing the requirement that a neighbourhood of a point includes the point itself, and by allowing neighbourhoods of points to be empty. We show that it is meaningful to discuss neighbourhoods, convergence, and continuity in these spaces. A gen...
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