Smash product of $I_+$ with a space $X$
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Let $K_+$ denote the union of $K$ with a disjoint base point.What is in words $Xwedge I_+$ where $I=[0,1]$?
general-topology algebraic-topology
edited Nov 22 at 10:42
user302797
19.4k92252
asked Nov 21 at 16:26
user122424
1,0551616
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show 3 more comments
up vote
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down vote
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Let $K_+$ denote the union of $K$ with a disjoint base point.What is in words $Xwedge I_+$ where $I=[0,1]$?
general-topology algebraic-topology
edited Nov 22 at 10:42
user302797
19.4k92252
asked Nov 21 at 16:26
user122424
1,0551616
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 at 18:06
Sorry, what do you mean by tangent to $I$? Do we have some manifold-like structure on the cylinder to speak about tangentiality?
– user122424
Nov 21 at 18:10
I was referring to the trivial bundle structure of the cylinder over $X$. $I$ is a smooth manifold with boundary, but I wasn't trying to make any specific reference to it. Rather I was trying to describe a straight line in the cylinder in words rather than using mathematical symbols.
– Tyrone
Nov 21 at 18:15
|
show 3 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let $K_+$ denote the union of $K$ with a disjoint base point.What is in words $Xwedge I_+$ where $I=[0,1]$?
general-topology algebraic-topology
edited Nov 22 at 10:42
user302797
19.4k92252
asked Nov 21 at 16:26
user122424
1,0551616
Let $K_+$ denote the union of $K$ with a disjoint base point.What is in words $Xwedge I_+$ where $I=[0,1]$?
general-topology algebraic-topology
general-topology algebraic-topology
edited Nov 22 at 10:42
user302797
19.4k92252
asked Nov 21 at 16:26
user122424
1,0551616
edited Nov 22 at 10:42
user302797
19.4k92252
asked Nov 21 at 16:26
user122424
1,0551616
edited Nov 22 at 10:42
user302797
19.4k92252
edited Nov 22 at 10:42
user302797
19.4k92252
edited Nov 22 at 10:42
user302797
19.4k92252
19.4k92252
asked Nov 21 at 16:26
user122424
1,0551616
asked Nov 21 at 16:26
user122424
1,0551616
asked Nov 21 at 16:26
user122424
1,0551616
1,0551616
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 at 18:06
Sorry, what do you mean by tangent to $I$? Do we have some manifold-like structure on the cylinder to speak about tangentiality?
– user122424
Nov 21 at 18:10
I was referring to the trivial bundle structure of the cylinder over $X$. $I$ is a smooth manifold with boundary, but I wasn't trying to make any specific reference to it. Rather I was trying to describe a straight line in the cylinder in words rather than using mathematical symbols.
– Tyrone
Nov 21 at 18:15
|
show 3 more comments
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 at 18:06
Sorry, what do you mean by tangent to $I$? Do we have some manifold-like structure on the cylinder to speak about tangentiality?
– user122424
Nov 21 at 18:10
I was referring to the trivial bundle structure of the cylinder over $X$. $I$ is a smooth manifold with boundary, but I wasn't trying to make any specific reference to it. Rather I was trying to describe a straight line in the cylinder in words rather than using mathematical symbols.
– Tyrone
Nov 21 at 18:15
1
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 at 17:58
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 at 18:03
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 at 18:06
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 at 18:06
Sorry, what do you mean by tangent to $I$? Do we have some manifold-like structure on the cylinder to speak about tangentiality?
– user122424
Nov 21 at 18:10
Sorry, what do you mean by tangent to $I$? Do we have some manifold-like structure on the cylinder to speak about tangentiality?
– user122424
Nov 21 at 18:10
I was referring to the trivial bundle structure of the cylinder over $X$. $I$ is a smooth manifold with boundary, but I wasn't trying to make any specific reference to it. Rather I was trying to describe a straight line in the cylinder in words rather than using mathematical symbols.
– Tyrone
Nov 21 at 18:15
I was referring to the trivial bundle structure of the cylinder over $X$. $I$ is a smooth manifold with boundary, but I wasn't trying to make any specific reference to it. Rather I was trying to describe a straight line in the cylinder in words rather than using mathematical symbols.
– Tyrone
Nov 21 at 18:15
|
show 3 more comments
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1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 at 18:06
Sorry, what do you mean by tangent to $I$? Do we have some manifold-like structure on the cylinder to speak about tangentiality?
– user122424
Nov 21 at 18:10
I was referring to the trivial bundle structure of the cylinder over $X$. $I$ is a smooth manifold with boundary, but I wasn't trying to make any specific reference to it. Rather I was trying to describe a straight line in the cylinder in words rather than using mathematical symbols.
– Tyrone
Nov 21 at 18:15