Monomorphisms in spaces with Lindel\"of filters via some compact-open-like topologies on C(X)
Abstract
We study the monomorphisms in the category LSpFi of spaces with Lindel\"of Filters. We extend the criterion derived by R. Ball and A. Hager in "Monomorphisms in Spaces with Lindel\"of 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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.