Abstract
In this paper the concept of self and strongly function chainable sets is
introduced for topological spaces. Results proved in [8] are extended to self and strongly
function chainable sets. Two characterizations of strongly function chainable sets have
been established in the paper. It is shown that the space is connected if and only if it is
function chainable provided the function is one to one
Keywords: chainablility, function
Unique Article ID: IJMSS-136
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