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Linear homeomorphic classification of spaces of continuous functions defined on SA
Topology and its Applications. 2020. No. 275. Article 107024.
Khmyleva T., Sukhacheva E.
For a subset A of the real line R, modification of the Sorgenfrey line SA is a topological space whose underlying points set is the reals Rand whose topology id defined as follows: points from Aare given the neighbourhoods of the right arrow while remaining points are given the neighbourhoods of the Sorgenfrey line S (or left arrow). A necessary and sufficient condition under which the space Cp(SA) is linearly homeomorphic to Cp(S) is obtained.
Keywords: Topology
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