Monomorphisms in spaces with Lindelöf filters via some compact-open-like topologies on C(X)
We study the monomorphisms in the category LSpFi of spaces with Lindelöf Filters. We extend the criterion derived by R. Ball and A. Hager in "Monomorphisms in Spaces with Lindelöf Filters", Czech. Math.J. 57, No.1 (2007) 281-317. Based on this extension, we defined and studied some compact-open-like topologies on C(X) and give new characterizations of the monomorphisms in LSpFi via these topologies.
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