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A note on A-splitting and A-admissible topologies on function spaces


Abstract


In [3] some characterizations of F-splitting and F-admissible topologies on function spaces are given, where F is a finite space. Here, we note that these results remain true if we consider Alexandroff spaces (that is, spaces with the property that the intersection of any number of open sets is open) instead of finite spaces.

DOI Code: 10.1285/i15900932v27supn1p85

Keywords: Function spaces; A-splitting topology; A-admissible topology

Classification: 54C35

Full Text: PDF


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