Subgroups of Rn generated by semicontinua

Sławomir Solecki

doi:10.1016/0166-8641(90)90048-7

Subgroups of Rⁿ generated by semicontinua

Sławomir Solecki

Mathematics

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

Abstract

A theorem is proved that the subgroup of Rⁿ generated by a semicontinuum containing the origin is a linear subspace of Rⁿ. It is the answer to the question of J.E. Keesling and D.C. Wilson.

Original language	English (US)
Pages (from-to)	247-251
Number of pages	5
Journal	Topology and its Applications
Volume	36
Issue number	3
DOIs	https://doi.org/10.1016/0166-8641(90)90048-7
State	Published - Sep 1990

Keywords

Eucliddean space
generator of a group
semicontinuum
topological group

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1016/0166-8641(90)90048-7

Library availability

Discover UIUC Full Text

Cite this

@article{e3110089cc344c95a00492bf089783f4,

title = "Subgroups of Rn generated by semicontinua",

abstract = "A theorem is proved that the subgroup of Rn generated by a semicontinuum containing the origin is a linear subspace of Rn. It is the answer to the question of J.E. Keesling and D.C. Wilson.",

keywords = "Eucliddean space, generator of a group, semicontinuum, topological group",

author = "S{\l}awomir Solecki",

year = "1990",

month = sep,

doi = "10.1016/0166-8641(90)90048-7",

language = "English (US)",

volume = "36",

pages = "247--251",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Subgroups of Rn generated by semicontinua

AU - Solecki, Sławomir

PY - 1990/9

Y1 - 1990/9

N2 - A theorem is proved that the subgroup of Rn generated by a semicontinuum containing the origin is a linear subspace of Rn. It is the answer to the question of J.E. Keesling and D.C. Wilson.

AB - A theorem is proved that the subgroup of Rn generated by a semicontinuum containing the origin is a linear subspace of Rn. It is the answer to the question of J.E. Keesling and D.C. Wilson.

KW - Eucliddean space

KW - generator of a group

KW - semicontinuum

KW - topological group

UR - http://www.scopus.com/inward/record.url?scp=44949268625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44949268625&partnerID=8YFLogxK

U2 - 10.1016/0166-8641(90)90048-7

DO - 10.1016/0166-8641(90)90048-7

M3 - Article

AN - SCOPUS:44949268625

VL - 36

SP - 247

EP - 251

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 3

ER -