1Institute of Statistics, National Tsing Hua University, Hsinchu 30013, Taiwan, R.O.C.
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 81-86
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Yu-Lin Chou; Yu-Lin Chou. A Schröder-Bernstein construction of homeomorphisms of P-spaces. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 81-86. http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a6/
@article{AMUC_2022_91_1_a6,
author = {Yu-Lin Chou and Yu-Lin Chou},
title = {A {Schr\"oder-Bernstein} construction of homeomorphisms of {P-spaces}},
journal = {Acta mathematica Universitatis Comenianae},
pages = {81--86},
year = {2022},
volume = {91},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a6/}
}
TY - JOUR
AU - Yu-Lin Chou
AU - Yu-Lin Chou
TI - A Schröder-Bernstein construction of homeomorphisms of P-spaces
JO - Acta mathematica Universitatis Comenianae
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%A Yu-Lin Chou
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%J Acta mathematica Universitatis Comenianae
%D 2022
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%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a6/
%F AMUC_2022_91_1_a6
Unlike constructing bijections or measurable isomorphisms, there seems no general "simple" analogous method to construct a homeomorphism with given topologies. In particular, we show that under some formally familiar conditions, the classical Schröder-Bernstein construction idea also gives homeomorphisms of spaces where every $G_\delta$ set is open.
