[PDF][PDF] Function space topologies for generalized topological spaces
A topology is defined on Cµ, ν (Y, Z), the collection of continuous mappings between two
generalized topologies on Y and Z. Using continuous convergence of g-nets, admissibility
and splittingness are characterized. The (µ, ν)-topology on Cµ, ν (Y, Z) is found to be
admissible. Point-open topology and compact-open topology are defined and investigated
for generalized topological spaces.
generalized topologies on Y and Z. Using continuous convergence of g-nets, admissibility
and splittingness are characterized. The (µ, ν)-topology on Cµ, ν (Y, Z) is found to be
admissible. Point-open topology and compact-open topology are defined and investigated
for generalized topological spaces.
Abstract
A topology is defined on Cµ, ν (Y, Z), the collection of continuous mappings between two generalized topologies on Y and Z. Using continuous convergence of g-nets, admissibility and splittingness are characterized. The (µ, ν)-topology on Cµ, ν (Y, Z) is found to be admissible. Point-open topology and compact-open topology are defined and investigated for generalized topological spaces.
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