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Note on the question of Sikora. / Storozhuk, Konstantin.

In: Journal of Knot Theory and its Ramifications, Vol. 27, No. 3, 1840008, 03.2018.

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

Harvard

Storozhuk, K 2018, 'Note on the question of Sikora', Journal of Knot Theory and its Ramifications, vol. 27, no. 3, 1840008. https://doi.org/10.1142/S0218216518400084

APA

Storozhuk, K. (2018). Note on the question of Sikora. Journal of Knot Theory and its Ramifications, 27(3), [1840008]. https://doi.org/10.1142/S0218216518400084

Vancouver

Storozhuk K. Note on the question of Sikora. Journal of Knot Theory and its Ramifications. 2018 Mar;27(3):1840008. doi: 10.1142/S0218216518400084

Author

Storozhuk, Konstantin. / Note on the question of Sikora. In: Journal of Knot Theory and its Ramifications. 2018 ; Vol. 27, No. 3.

BibTeX

@article{5e571c009228468fb957157b4e528a99,
title = "Note on the question of Sikora",
abstract = "A natural topology on the set of left orderings on free abelian groups and free groups (Formula presented.), (Formula presented.) has studied in [A. S. Sikora, Topology on the spaces of orderings of groups, Bull. London Math. Soc. 36(4) (2004) 519–526; L. Smith, On ordering free groups, J. Symbolic Comput. 40 (2005) 1285–1290, Corrigendum (with A. Clay) 44 (2009) 1529–1532]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group (Formula presented.) with (Formula presented.) generators. We point out the paper dealing with equivalent questions.",
keywords = "Ordered group, SPACE, LATTICE-ORDERED GROUPS",
author = "Konstantin Storozhuk",
year = "2018",
month = mar,
doi = "10.1142/S0218216518400084",
language = "English",
volume = "27",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - Note on the question of Sikora

AU - Storozhuk, Konstantin

PY - 2018/3

Y1 - 2018/3

N2 - A natural topology on the set of left orderings on free abelian groups and free groups (Formula presented.), (Formula presented.) has studied in [A. S. Sikora, Topology on the spaces of orderings of groups, Bull. London Math. Soc. 36(4) (2004) 519–526; L. Smith, On ordering free groups, J. Symbolic Comput. 40 (2005) 1285–1290, Corrigendum (with A. Clay) 44 (2009) 1529–1532]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group (Formula presented.) with (Formula presented.) generators. We point out the paper dealing with equivalent questions.

AB - A natural topology on the set of left orderings on free abelian groups and free groups (Formula presented.), (Formula presented.) has studied in [A. S. Sikora, Topology on the spaces of orderings of groups, Bull. London Math. Soc. 36(4) (2004) 519–526; L. Smith, On ordering free groups, J. Symbolic Comput. 40 (2005) 1285–1290, Corrigendum (with A. Clay) 44 (2009) 1529–1532]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group (Formula presented.) with (Formula presented.) generators. We point out the paper dealing with equivalent questions.

KW - Ordered group

KW - SPACE

KW - LATTICE-ORDERED GROUPS

UR - http://www.scopus.com/inward/record.url?scp=85044193874&partnerID=8YFLogxK

U2 - 10.1142/S0218216518400084

DO - 10.1142/S0218216518400084

M3 - Article

AN - SCOPUS:85044193874

VL - 27

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 3

M1 - 1840008

ER -

ID: 12178875