Notation on fibre bundles
0
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I came up this morning with the following question and after looking for it for a while on the internet i found this old question on math.stackexchange with no answers. Could anyone please give some clue? Thanks a lot in advance
Question on notation (topology & fiber bundles)
algebraic-topology notation geometric-topology
asked Dec 8 '18 at 11:37
X1921X1921
879
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add a comment |
0
$begingroup$
I came up this morning with the following question and after looking for it for a while on the internet i found this old question on math.stackexchange with no answers. Could anyone please give some clue? Thanks a lot in advance
Question on notation (topology & fiber bundles)
algebraic-topology notation geometric-topology
asked Dec 8 '18 at 11:37
X1921X1921
879
$endgroup$
1
$begingroup$
Let $X,Y$ be a pair of spaces with continuous actions of a topological group $G$. Form the $G$-space $Xtimes Y$ with the diagonal action, and let $Xtimes_GY$ be the quotient $(Xtimes Y)/G$. In particular, if $X$ is a right $G$-space and $Y$ is a left $G$-space, then $Xtimes_GY=Xtimes Y/[(xg,y)sim (x,gy)]$. The space $Xtimes_GY$ is often called the Borel Construction, or Balance Product.
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– Tyrone
Dec 8 '18 at 11:51
1
$begingroup$
I think that was your question.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
That is so accurate. Thanks a lot, Tyrone.
$endgroup$
– X1921
Dec 8 '18 at 12:02
$begingroup$
Duplicate of math.stackexchange.com/q/1225083.
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– Paul Frost
Dec 8 '18 at 16:22
$begingroup$
It is obviously a duplicate because nobody answered to the first question. Indeed, that is what i said in the description..
$endgroup$
– X1921
Dec 8 '18 at 21:08
add a comment |
0
0
0
$begingroup$
I came up this morning with the following question and after looking for it for a while on the internet i found this old question on math.stackexchange with no answers. Could anyone please give some clue? Thanks a lot in advance
Question on notation (topology & fiber bundles)
algebraic-topology notation geometric-topology
asked Dec 8 '18 at 11:37
X1921X1921
879
$endgroup$
I came up this morning with the following question and after looking for it for a while on the internet i found this old question on math.stackexchange with no answers. Could anyone please give some clue? Thanks a lot in advance
Question on notation (topology & fiber bundles)
algebraic-topology notation geometric-topology
algebraic-topology notation geometric-topology
asked Dec 8 '18 at 11:37
X1921X1921
879
asked Dec 8 '18 at 11:37
X1921X1921
879
asked Dec 8 '18 at 11:37
X1921X1921
879
asked Dec 8 '18 at 11:37
X1921X1921
879
asked Dec 8 '18 at 11:37
X1921X1921
879
879
1
$begingroup$
Let $X,Y$ be a pair of spaces with continuous actions of a topological group $G$. Form the $G$-space $Xtimes Y$ with the diagonal action, and let $Xtimes_GY$ be the quotient $(Xtimes Y)/G$. In particular, if $X$ is a right $G$-space and $Y$ is a left $G$-space, then $Xtimes_GY=Xtimes Y/[(xg,y)sim (x,gy)]$. The space $Xtimes_GY$ is often called the Borel Construction, or Balance Product.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
1
$begingroup$
I think that was your question.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
That is so accurate. Thanks a lot, Tyrone.
$endgroup$
– X1921
Dec 8 '18 at 12:02
$begingroup$
Duplicate of math.stackexchange.com/q/1225083.
$endgroup$
– Paul Frost
Dec 8 '18 at 16:22
$begingroup$
It is obviously a duplicate because nobody answered to the first question. Indeed, that is what i said in the description..
$endgroup$
– X1921
Dec 8 '18 at 21:08
add a comment |
1
$begingroup$
Let $X,Y$ be a pair of spaces with continuous actions of a topological group $G$. Form the $G$-space $Xtimes Y$ with the diagonal action, and let $Xtimes_GY$ be the quotient $(Xtimes Y)/G$. In particular, if $X$ is a right $G$-space and $Y$ is a left $G$-space, then $Xtimes_GY=Xtimes Y/[(xg,y)sim (x,gy)]$. The space $Xtimes_GY$ is often called the Borel Construction, or Balance Product.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
1
$begingroup$
I think that was your question.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
That is so accurate. Thanks a lot, Tyrone.
$endgroup$
– X1921
Dec 8 '18 at 12:02
$begingroup$
Duplicate of math.stackexchange.com/q/1225083.
$endgroup$
– Paul Frost
Dec 8 '18 at 16:22
$begingroup$
It is obviously a duplicate because nobody answered to the first question. Indeed, that is what i said in the description..
$endgroup$
– X1921
Dec 8 '18 at 21:08
1
1
$begingroup$
Let $X,Y$ be a pair of spaces with continuous actions of a topological group $G$. Form the $G$-space $Xtimes Y$ with the diagonal action, and let $Xtimes_GY$ be the quotient $(Xtimes Y)/G$. In particular, if $X$ is a right $G$-space and $Y$ is a left $G$-space, then $Xtimes_GY=Xtimes Y/[(xg,y)sim (x,gy)]$. The space $Xtimes_GY$ is often called the Borel Construction, or Balance Product.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
Let $X,Y$ be a pair of spaces with continuous actions of a topological group $G$. Form the $G$-space $Xtimes Y$ with the diagonal action, and let $Xtimes_GY$ be the quotient $(Xtimes Y)/G$. In particular, if $X$ is a right $G$-space and $Y$ is a left $G$-space, then $Xtimes_GY=Xtimes Y/[(xg,y)sim (x,gy)]$. The space $Xtimes_GY$ is often called the Borel Construction, or Balance Product.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
1
1
$begingroup$
I think that was your question.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
I think that was your question.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
That is so accurate. Thanks a lot, Tyrone.
$endgroup$
– X1921
Dec 8 '18 at 12:02
$begingroup$
That is so accurate. Thanks a lot, Tyrone.
$endgroup$
– X1921
Dec 8 '18 at 12:02
$begingroup$
Duplicate of math.stackexchange.com/q/1225083.
$endgroup$
– Paul Frost
Dec 8 '18 at 16:22
$begingroup$
Duplicate of math.stackexchange.com/q/1225083.
$endgroup$
– Paul Frost
Dec 8 '18 at 16:22
$begingroup$
It is obviously a duplicate because nobody answered to the first question. Indeed, that is what i said in the description..
$endgroup$
– X1921
Dec 8 '18 at 21:08
$begingroup$
It is obviously a duplicate because nobody answered to the first question. Indeed, that is what i said in the description..
$endgroup$
– X1921
Dec 8 '18 at 21:08
add a comment |
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1
$begingroup$
Let $X,Y$ be a pair of spaces with continuous actions of a topological group $G$. Form the $G$-space $Xtimes Y$ with the diagonal action, and let $Xtimes_GY$ be the quotient $(Xtimes Y)/G$. In particular, if $X$ is a right $G$-space and $Y$ is a left $G$-space, then $Xtimes_GY=Xtimes Y/[(xg,y)sim (x,gy)]$. The space $Xtimes_GY$ is often called the Borel Construction, or Balance Product.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
1
$begingroup$
I think that was your question.
$endgroup$
– Tyrone
Dec 8 '18 at 11:51
$begingroup$
That is so accurate. Thanks a lot, Tyrone.
$endgroup$
– X1921
Dec 8 '18 at 12:02
$begingroup$
Duplicate of math.stackexchange.com/q/1225083.
$endgroup$
– Paul Frost
Dec 8 '18 at 16:22
$begingroup$
It is obviously a duplicate because nobody answered to the first question. Indeed, that is what i said in the description..
$endgroup$
– X1921
Dec 8 '18 at 21:08