Labeled configuration spaces and group completions

Kazuhisa Shimakawa

doi:10.1515/FORUM.2007.014

Labeled configuration spaces and group completions

Kazuhisa Shimakawa

Graduate School of Natural Science and Technology

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

Abstract

Given a pair of a partial abelian monoid M and a pointed space X, let C^M(ℝ^∞, X) denote the configuration space of finite distinct points in ℝ^∞ parametrized by the partial monoid X ∧ M. In this note we will show that if M is embedded in a topological abelian group and if we put ±M = {a - b

Original language	English
Pages (from-to)	353-364
Number of pages	12
Journal	Forum Mathematicum
Volume	19
Issue number	2
DOIs	https://doi.org/10.1515/FORUM.2007.014
Publication status	Published - Mar 20 2007

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1515/FORUM.2007.014

Fingerprint Dive into the research topics of 'Labeled configuration spaces and group completions'. Together they form a unique fingerprint.

Cite this

@article{9891e15479b64f1694fa7024fe86c19f,

title = "Labeled configuration spaces and group completions",

abstract = "Given a pair of a partial abelian monoid M and a pointed space X, let CM(ℝ∞, X) denote the configuration space of finite distinct points in ℝ∞ parametrized by the partial monoid X ∧ M. In this note we will show that if M is embedded in a topological abelian group and if we put ±M = {a - b",

author = "Kazuhisa Shimakawa",

year = "2007",

month = mar,

day = "20",

doi = "10.1515/FORUM.2007.014",

language = "English",

volume = "19",

pages = "353--364",

journal = "Forum Mathematicum",

issn = "0933-7741",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "2",

}

TY - JOUR

T1 - Labeled configuration spaces and group completions

AU - Shimakawa, Kazuhisa

PY - 2007/3/20

Y1 - 2007/3/20

N2 - Given a pair of a partial abelian monoid M and a pointed space X, let CM(ℝ∞, X) denote the configuration space of finite distinct points in ℝ∞ parametrized by the partial monoid X ∧ M. In this note we will show that if M is embedded in a topological abelian group and if we put ±M = {a - b

AB - Given a pair of a partial abelian monoid M and a pointed space X, let CM(ℝ∞, X) denote the configuration space of finite distinct points in ℝ∞ parametrized by the partial monoid X ∧ M. In this note we will show that if M is embedded in a topological abelian group and if we put ±M = {a - b

UR - http://www.scopus.com/inward/record.url?scp=33947225813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947225813&partnerID=8YFLogxK

U2 - 10.1515/FORUM.2007.014

DO - 10.1515/FORUM.2007.014

M3 - Article

AN - SCOPUS:33947225813

VL - 19

SP - 353

EP - 364

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 2

ER -