Article
MSC:
46A16,
46A30,
54C10,
54D65,
54E35,
54E40,
54E45,
54E50 | MR 4093430 | Zbl 07217159 | DOI: 10.14712/1213-7243.2020.007
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Keywords:
preimage; open map; complete metric space; $F$-space; $F$-lattice; compact set; uniformly open map; surpositive operator; lower semicontinuous set-valued map
preimage; open map; complete metric space; $F$-space; $F$-lattice; compact set; uniformly open map; surpositive operator; lower semicontinuous set-valued map
Summary:
We discuss various results on the existence of `true' preimages under continuous open maps between $F$-spaces, $F$-lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.
References:
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