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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 id 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


Puni tekst: engleski pdf 232 Kb

str. 89-94

preuzimanja: 396

citiraj


Sažetak

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.

Ključne riječi

Case-Chamberlin continuum; quotient space; fundamental group; lower central series; weight; commutator

Hrčak ID:

12884

URI

https://hrcak.srce.hr/12884

Datum izdavanja:

12.6.2007.

Posjeta: 840 *