2010•Mathematica MoravicaOpen access

The ٦-open open topology for function spaces

S. Ganguly, Ritu Sen

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Abstract

In this paper we have introduced the notion of ٦ - open open topology and proved some properties which the topology does possess. We have also introduced the concept of convergence of nets in ٦ H(X) (where ٦ H(X) is the set of all self ٦- homeomorphisms on a topological space X) and showed when ٦ H(X) is complete. .

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What this paper is about

In this paper we have introduced the notion of ٦ - open open topology and proved some properties which the topology does possess. We have also introduced the concept of convergence of nets in ٦ H(X) (where ٦ H(X) is the set of all self ٦- homeomorphisms on a topological space X) and showed when ٦ H(X) is complete. .

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Available abstract

In this paper we have introduced the notion of ٦ - open open topology and proved some properties which the topology does possess. We have also introduced the concept of convergence of nets in ٦ H(X) (where ٦ H(X) is the set of all self ٦- homeomorphisms on a topological space X) and showed when ٦ H(X) is complete. .

Key concepts: Open set, Topology (electrical circuits), Topological space, Convergence (economics), General topology, Function (biology), Weak topology (polar topology), Mathematics

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