On the fundamental group of ℝ3 modulo the case-Chamberlin continuum

Katsuya Eda; Umed H. Karimov; Dušan Repovš

doi:10.3336/gm.42.1.07

On the fundamental group of ℝ³ modulo the case-Chamberlin continuum

Katsuya Eda^*, Umed H. Karimov, Dušan Repovš

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

It has been known for a long time that the fundamental group of the quotient of ℝ³ by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.

Original language	English
Pages (from-to)	89-94
Number of pages	6
Journal	Glasnik Matematicki
Volume	42
Issue number	1
DOIs	https://doi.org/10.3336/gm.42.1.07
Publication status	Published - 2007 Jun

Keywords

Case-Chamberlin continuum
Commutator
Fundamental group
Lower central series
Quotient space
Weight

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3336/gm.42.1.07

Cite this

@article{dddc7d12652d4bb2a93669a0f70f0a52,

title = "On the fundamental group of ℝ3 modulo the case-Chamberlin continuum",

abstract = "It has been known for a long time that the fundamental group of the quotient of ℝ3 by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.",

keywords = "Case-Chamberlin continuum, Commutator, Fundamental group, Lower central series, Quotient space, Weight",

author = "Katsuya Eda and Karimov, {Umed H.} and Du{\v s}an Repov{\v s}",

year = "2007",

month = jun,

doi = "10.3336/gm.42.1.07",

language = "English",

volume = "42",

pages = "89--94",

journal = "Glasnik Matematicki",

issn = "0017-095X",

publisher = "University of Zagreb",

number = "1",

}

TY - JOUR

T1 - On the fundamental group of ℝ3 modulo the case-Chamberlin continuum

AU - Eda, Katsuya

AU - Karimov, Umed H.

AU - Repovš, Dušan

PY - 2007/6

Y1 - 2007/6

N2 - It has been known for a long time that the fundamental group of the quotient of ℝ3 by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.

AB - It has been known for a long time that the fundamental group of the quotient of ℝ3 by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.

KW - Case-Chamberlin continuum

KW - Commutator

KW - Fundamental group

KW - Lower central series

KW - Quotient space

KW - Weight

UR - http://www.scopus.com/inward/record.url?scp=34447535520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34447535520&partnerID=8YFLogxK

U2 - 10.3336/gm.42.1.07

DO - 10.3336/gm.42.1.07

M3 - Article

AN - SCOPUS:34447535520

SN - 0017-095X

VL - 42

SP - 89

EP - 94

JO - Glasnik Matematicki

JF - Glasnik Matematicki

IS - 1

ER -