restricted product

The restricted product is a construction in the theory of topological groups. Let

(G_1, K_1), (G_2, K_2) ,(G_3,K_3), ...

be a sequence of locally compact groups together with compact subgroups

K_i \subset G_i

. The restricted product

{\prod_i}' G_i

is the set of sequences

(g_1, g_2, ...)

such that

g_i \in K_i

for all but finitely many

i

. The restricted product is itself a locally compact group. The best known example of this construction is that of the adele ring and idele group of an algebraic number field.

<< Previous

Word Browser

Next >>

irvin mcdowell
longdendale trail
alain ren lesage
jenny lind
university of seville
gray areas
dinar
algebraic group
border control
louis daguerre
aviation noise

branford marsalis
rems murr
larry levan
jim furyk
smith college
battle of fraustadt
willow tit
mikoyan gurevich mig 25
george boleyn, viscount rochford
ethan of athos
operating systems timeline

blue tit
phpbb
crested tit
adele ring
bignoniaceae
lactobacillus bulgaricus
tove
given name
wadden sea national parks
kos
web ontology language

armagh rail disaster
the united states of america (band)
400
fairfax
locally ringed space
border country
folsom
fdration internationale de l'automobile
athelney
fonda
west chester township, butler county, ohio