Glasnik matematički, Vol. 42 No. 1, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.1.07
On the fundamental group of R^3 modulo the Chase-Chaberlin continuum
Katsuya Eda
; School of Science and Engineering, Waseda University, Tokyo 169-8555, Japan
Umed H. Karimov
; Institute of Mathematics, Academy of Sciences of Tajikistan, Ul. Ainy 299A, Dushanbe 734063, Tajikistan
Dušan Repovš
orcid.org/0000-0002-6643-1271
; Institute of Mathematics, Physics and Mechanics and Faculty of Education, University of Ljubljana, P.O.Box 2964, Ljubljana 1001, Slovenia
Abstract
It has been known for a long time that the fundamental group of the quotient of R^3 by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.
Keywords
Case-Chamberlin continuum; quotient space; fundamental group; lower central series; weight; commutator
Hrčak ID:
12884
URI
Publication date:
12.6.2007.
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