Attaching maps in CW Complexes
1
$begingroup$
Can anybody make me understand the $attaching$ $map$ in CW Complexes? I need mathematical definition of it? Is it really a function? Any fruitful links containing the definition of attaching maps please.
algebraic-topology
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
$endgroup$
|
show 1 more comment
1
$begingroup$
Can anybody make me understand the $attaching$ $map$ in CW Complexes? I need mathematical definition of it? Is it really a function? Any fruitful links containing the definition of attaching maps please.
algebraic-topology
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
$endgroup$
$begingroup$
Have a look at Wikipedia.
$endgroup$
– drhab
Dec 31 '18 at 15:27
$begingroup$
They are attaching spaces, I'm interested in attaching maps.
$endgroup$
– Prince Thomas
Dec 31 '18 at 17:44
2
$begingroup$
@PrinceThomas did you read the link?
$endgroup$
– Randall
Dec 31 '18 at 18:13
2
$begingroup$
My book "Topology and Groupoids" (do a web search) has over 10 pages on adjunction spaces and their properties. The term "attaching map" is not used, but the description of finite cell complexes in Section 4.7 should help sort this out.
$endgroup$
– Ronnie Brown
Dec 31 '18 at 22:19
2
$begingroup$
When you form an adjunction space $B cup_f X$ where $A$ is a closed subspace of $X$ and $f: A to B$, then $f$ is often called the attaching map.
$endgroup$
– Ronnie Brown
Jan 1 at 14:35
|
show 1 more comment
1
1
1
$begingroup$
Can anybody make me understand the $attaching$ $map$ in CW Complexes? I need mathematical definition of it? Is it really a function? Any fruitful links containing the definition of attaching maps please.
algebraic-topology
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
$endgroup$
Can anybody make me understand the $attaching$ $map$ in CW Complexes? I need mathematical definition of it? Is it really a function? Any fruitful links containing the definition of attaching maps please.
algebraic-topology
algebraic-topology
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
asked Dec 31 '18 at 15:22
Prince ThomasPrince Thomas
625311
625311
$begingroup$
Have a look at Wikipedia.
$endgroup$
– drhab
Dec 31 '18 at 15:27
$begingroup$
They are attaching spaces, I'm interested in attaching maps.
$endgroup$
– Prince Thomas
Dec 31 '18 at 17:44
2
$begingroup$
@PrinceThomas did you read the link?
$endgroup$
– Randall
Dec 31 '18 at 18:13
2
$begingroup$
My book "Topology and Groupoids" (do a web search) has over 10 pages on adjunction spaces and their properties. The term "attaching map" is not used, but the description of finite cell complexes in Section 4.7 should help sort this out.
$endgroup$
– Ronnie Brown
Dec 31 '18 at 22:19
2
$begingroup$
When you form an adjunction space $B cup_f X$ where $A$ is a closed subspace of $X$ and $f: A to B$, then $f$ is often called the attaching map.
$endgroup$
– Ronnie Brown
Jan 1 at 14:35
|
show 1 more comment
$begingroup$
Have a look at Wikipedia.
$endgroup$
– drhab
Dec 31 '18 at 15:27
$begingroup$
They are attaching spaces, I'm interested in attaching maps.
$endgroup$
– Prince Thomas
Dec 31 '18 at 17:44
2
$begingroup$
@PrinceThomas did you read the link?
$endgroup$
– Randall
Dec 31 '18 at 18:13
2
$begingroup$
My book "Topology and Groupoids" (do a web search) has over 10 pages on adjunction spaces and their properties. The term "attaching map" is not used, but the description of finite cell complexes in Section 4.7 should help sort this out.
$endgroup$
– Ronnie Brown
Dec 31 '18 at 22:19
2
$begingroup$
When you form an adjunction space $B cup_f X$ where $A$ is a closed subspace of $X$ and $f: A to B$, then $f$ is often called the attaching map.
$endgroup$
– Ronnie Brown
Jan 1 at 14:35
$begingroup$
Have a look at Wikipedia.
$endgroup$
– drhab
Dec 31 '18 at 15:27
$begingroup$
Have a look at Wikipedia.
$endgroup$
– drhab
Dec 31 '18 at 15:27
$begingroup$
They are attaching spaces, I'm interested in attaching maps.
$endgroup$
– Prince Thomas
Dec 31 '18 at 17:44
$begingroup$
They are attaching spaces, I'm interested in attaching maps.
$endgroup$
– Prince Thomas
Dec 31 '18 at 17:44
2
2
$begingroup$
@PrinceThomas did you read the link?
$endgroup$
– Randall
Dec 31 '18 at 18:13
$begingroup$
@PrinceThomas did you read the link?
$endgroup$
– Randall
Dec 31 '18 at 18:13
2
2
$begingroup$
My book "Topology and Groupoids" (do a web search) has over 10 pages on adjunction spaces and their properties. The term "attaching map" is not used, but the description of finite cell complexes in Section 4.7 should help sort this out.
$endgroup$
– Ronnie Brown
Dec 31 '18 at 22:19
$begingroup$
My book "Topology and Groupoids" (do a web search) has over 10 pages on adjunction spaces and their properties. The term "attaching map" is not used, but the description of finite cell complexes in Section 4.7 should help sort this out.
$endgroup$
– Ronnie Brown
Dec 31 '18 at 22:19
2
2
$begingroup$
When you form an adjunction space $B cup_f X$ where $A$ is a closed subspace of $X$ and $f: A to B$, then $f$ is often called the attaching map.
$endgroup$
– Ronnie Brown
Jan 1 at 14:35
$begingroup$
When you form an adjunction space $B cup_f X$ where $A$ is a closed subspace of $X$ and $f: A to B$, then $f$ is often called the attaching map.
$endgroup$
– Ronnie Brown
Jan 1 at 14:35
|
show 1 more comment
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$begingroup$
Have a look at Wikipedia.
$endgroup$
– drhab
Dec 31 '18 at 15:27
$begingroup$
They are attaching spaces, I'm interested in attaching maps.
$endgroup$
– Prince Thomas
Dec 31 '18 at 17:44
2
$begingroup$
@PrinceThomas did you read the link?
$endgroup$
– Randall
Dec 31 '18 at 18:13
2
$begingroup$
My book "Topology and Groupoids" (do a web search) has over 10 pages on adjunction spaces and their properties. The term "attaching map" is not used, but the description of finite cell complexes in Section 4.7 should help sort this out.
$endgroup$
– Ronnie Brown
Dec 31 '18 at 22:19
2
$begingroup$
When you form an adjunction space $B cup_f X$ where $A$ is a closed subspace of $X$ and $f: A to B$, then $f$ is often called the attaching map.
$endgroup$
– Ronnie Brown
Jan 1 at 14:35