Some nonprojective subgroups of free topological groups-Reference-Cited by-同舟云学术

Some nonprojective subgroups of free topological groups

Published:1975 Issue:1 Volume:52 Page:433-440
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brown Ronald

Abstract

For the free topological group on an interval [ a , b ] [a,b] a family of closed, locally path-connected subgroups is given such that each group is not projective and so not free topological. Simplicial methods are used, and the test for nonprojectivity is nonfreeness of the group of path components. Similar results are given for the abelian case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-052-01/S0002-9939-1975-0393326-7/S0002-9939-1975-0393326-7.pdf

Reference9 articles.

1. Subgroups of free topological groups and free topological products of topological groups;Brown, R.;J. London Math. Soc. (2),1975

2. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35;Gabriel, P.,1967

3. Free topological groups;Graev, M. I.;Izvestiya Akad. Nauk SSSR. Ser. Mat.,1948

4. 𝔉-projective objects;Hall, C. E.;Proc. Amer. Math. Soc.,1970

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