Smash product of $I_+$ with a space $X$
0
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 '18 at 10:42
Saad
19.7k92252
asked Nov 21 '18 at 16:26
user122424
1,0861616
|
show 3 more comments
0
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 '18 at 10:42
Saad
19.7k92252
asked Nov 21 '18 at 16:26
user122424
1,0861616
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 '18 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 '18 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 '18 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 '18 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 '18 at 18:15
|
show 3 more comments
0
0
0
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 '18 at 10:42
Saad
19.7k92252
asked Nov 21 '18 at 16:26
user122424
1,0861616
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 '18 at 10:42
Saad
19.7k92252
asked Nov 21 '18 at 16:26
user122424
1,0861616
edited Nov 22 '18 at 10:42
Saad
19.7k92252
asked Nov 21 '18 at 16:26
user122424
1,0861616
edited Nov 22 '18 at 10:42
Saad
19.7k92252
edited Nov 22 '18 at 10:42
Saad
19.7k92252
edited Nov 22 '18 at 10:42
Saad
19.7k92252
19.7k92252
asked Nov 21 '18 at 16:26
user122424
1,0861616
asked Nov 21 '18 at 16:26
user122424
1,0861616
asked Nov 21 '18 at 16:26
user122424
1,0861616
1,0861616
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 '18 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 '18 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 '18 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 '18 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 '18 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 '18 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 '18 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 '18 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 '18 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 '18 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 '18 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 '18 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 '18 at 18:03
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 '18 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 '18 at 18:06
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 '18 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 '18 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 '18 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 '18 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 '18 at 18:15
|
show 3 more comments
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3007959%2fsmash-product-of-i-with-a-space-x%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
draft saved
draft discarded
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3007959%2fsmash-product-of-i-with-a-space-x%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
In words, it is the cylinder on $X$ with the line through the basepoint of $X$ crushed to a point.
– Tyrone
Nov 21 '18 at 17:58
And that line lies in $X$ or in the cylinder?
– user122424
Nov 21 '18 at 18:03
In the cylinder, running tangent to $I$ above the basepoint of $X$.
– Tyrone
Nov 21 '18 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 '18 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 '18 at 18:15