Geodesic
Linear homeomorphisms of function spaces and the position of a space in its compactification
Canadian journal of mathematics, Tome 76 (2024) no. 6, pp. 2151-2172

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DOI

An old question of Arhangel’skii asks if the Menger property of a Tychonoff space X is preserved by homeomorphisms of the space $C_p(X)$ of continuous real-valued functions on X endowed with the pointwise topology. We provide affirmative answer in the case of linear homeomorphisms. To this end, we develop a method of studying invariants of linear homeomorphisms of function spaces $C_p(X)$ by looking at the way X is positioned in its (Čech–Stone) compactification.
DOI : 10.4153/S0008414X23000779
Mots-clés : Function space, pointwise convergence topology, Menger space, Hurewicz space, linear homeomorphism 
Krupski, Mikołaj. Linear homeomorphisms of function spaces and the position of a space in its compactification. Canadian journal of mathematics, Tome 76 (2024) no. 6, pp. 2151-2172. doi: 10.4153/S0008414X23000779
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     title = {Linear homeomorphisms of function spaces and the position of a space in its compactification},
     journal = {Canadian journal of mathematics},
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     year = {2024},
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