Examples of sequential topological groups under the continuum hypothesis
Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 107-120
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Using CH we construct examples of sequential topological groups: 1. a pair of countable Fréchet topological groups whose product is sequential but is not Fréchet, 2. a countable Fréchet and $α_1$ topological group which contains no copy of the rationals.
Keywords:
topological group, sequential space, Fréchet space
Affiliations des auteurs :
Alexander Shibakov 1
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author = {Alexander Shibakov},
title = {Examples of sequential topological groups under the continuum hypothesis},
journal = {Fundamenta Mathematicae},
pages = {107--120},
year = {1996},
volume = {151},
number = {2},
doi = {10.4064/fm-151-2-107-120},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-151-2-107-120/}
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%0 Journal Article %A Alexander Shibakov %T Examples of sequential topological groups under the continuum hypothesis %J Fundamenta Mathematicae %D 1996 %P 107-120 %V 151 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/fm-151-2-107-120/ %R 10.4064/fm-151-2-107-120 %G en %F 10_4064_fm_151_2_107_120
Alexander Shibakov. Examples of sequential topological groups under the continuum hypothesis. Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 107-120. doi: 10.4064/fm-151-2-107-120
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