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
| Original language | English |
|---|---|
| Pages (from-to) | 353-364 |
| Number of pages | 12 |
| Journal | Forum Mathematicum |
| Volume | 19 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 20 2007 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Labeled configuration spaces and group completions. / Shimakawa, Kazuhisa.
In: Forum Mathematicum, Vol. 19, No. 2, 20.03.2007, p. 353-364.Research output: Contribution to journal › Article
}
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
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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
VL - 19
SP - 353
EP - 364
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 2
ER -