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Abstract Let X be a topological space, ( Y , d ) be a metric space, Q ( X , Y ) be the space of quasicontinuous functions from X… Click to show full abstract
Abstract Let X be a topological space, ( Y , d ) be a metric space, Q ( X , Y ) be the space of quasicontinuous functions from X to Y and τ U C be the topology of uniform convergence on compacta. We study first countability, metrizability and complete metrizability of ( Q ( X , Y ) , τ U C ) . We will apply our results to characterize sequentially compact subsets of ( Q ( X , Y ) , τ U C ) .
Keywords:
space;
quasicontinuous functions;
metrizability;
topology;
space quasicontinuous;
metrizability space
Journal Title: Topology and its Applications
Year Published: 2018
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Journal Title: Topology and its Applications
Year Published: 2018
Link to full text (if available)
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recommendations!