Alexandroff One Point Compactification of $[0,1]times[0,1)$
up vote
0
down vote
favorite
I have to find the Alexandroff One Point Compactification of $[0,1]times[0,1)$, which should be a triangle.
I need a map $phi:[0,1]times[0,1)to mathrm{T}setminus{mathrm{V}}$, where $mathrm{T}={(x,y)inBbb R^2:x,yge 0text{ and }x+yle 1};.$
Could $phi(x,y)=(x|y|,y)$ work?
general-topology compactness
asked Nov 13 at 17:03
F.inc
32110
add a comment |
up vote
0
down vote
favorite
I have to find the Alexandroff One Point Compactification of $[0,1]times[0,1)$, which should be a triangle.
I need a map $phi:[0,1]times[0,1)to mathrm{T}setminus{mathrm{V}}$, where $mathrm{T}={(x,y)inBbb R^2:x,yge 0text{ and }x+yle 1};.$
Could $phi(x,y)=(x|y|,y)$ work?
general-topology compactness
asked Nov 13 at 17:03
F.inc
32110
1
Why not try it and see? Also, I am confused as to why your proposed map has absolute value signs in it - the domain is pairs of non-negative numbers. And a hint: If $x,y$ are both close to $1$, what can you say about $x|y| + y$?
– Jason DeVito
Nov 13 at 17:16
Which point of $T$ is $V$?
– Paul Frost
Nov 14 at 21:27
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have to find the Alexandroff One Point Compactification of $[0,1]times[0,1)$, which should be a triangle.
I need a map $phi:[0,1]times[0,1)to mathrm{T}setminus{mathrm{V}}$, where $mathrm{T}={(x,y)inBbb R^2:x,yge 0text{ and }x+yle 1};.$
Could $phi(x,y)=(x|y|,y)$ work?
general-topology compactness
asked Nov 13 at 17:03
F.inc
32110
I have to find the Alexandroff One Point Compactification of $[0,1]times[0,1)$, which should be a triangle.
I need a map $phi:[0,1]times[0,1)to mathrm{T}setminus{mathrm{V}}$, where $mathrm{T}={(x,y)inBbb R^2:x,yge 0text{ and }x+yle 1};.$
Could $phi(x,y)=(x|y|,y)$ work?
general-topology compactness
general-topology compactness
asked Nov 13 at 17:03
F.inc
32110
asked Nov 13 at 17:03
F.inc
32110
asked Nov 13 at 17:03
F.inc
32110
asked Nov 13 at 17:03
F.inc
32110
asked Nov 13 at 17:03
F.inc
32110
32110
1
Why not try it and see? Also, I am confused as to why your proposed map has absolute value signs in it - the domain is pairs of non-negative numbers. And a hint: If $x,y$ are both close to $1$, what can you say about $x|y| + y$?
– Jason DeVito
Nov 13 at 17:16
Which point of $T$ is $V$?
– Paul Frost
Nov 14 at 21:27
add a comment |
1
Why not try it and see? Also, I am confused as to why your proposed map has absolute value signs in it - the domain is pairs of non-negative numbers. And a hint: If $x,y$ are both close to $1$, what can you say about $x|y| + y$?
– Jason DeVito
Nov 13 at 17:16
Which point of $T$ is $V$?
– Paul Frost
Nov 14 at 21:27
1
1
Why not try it and see? Also, I am confused as to why your proposed map has absolute value signs in it - the domain is pairs of non-negative numbers. And a hint: If $x,y$ are both close to $1$, what can you say about $x|y| + y$?
– Jason DeVito
Nov 13 at 17:16
Why not try it and see? Also, I am confused as to why your proposed map has absolute value signs in it - the domain is pairs of non-negative numbers. And a hint: If $x,y$ are both close to $1$, what can you say about $x|y| + y$?
– Jason DeVito
Nov 13 at 17:16
Which point of $T$ is $V$?
– Paul Frost
Nov 14 at 21:27
Which point of $T$ is $V$?
– Paul Frost
Nov 14 at 21:27
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
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%2f2996991%2falexandroff-one-point-compactification-of-0-1-times0-1%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
Why not try it and see? Also, I am confused as to why your proposed map has absolute value signs in it - the domain is pairs of non-negative numbers. And a hint: If $x,y$ are both close to $1$, what can you say about $x|y| + y$?
– Jason DeVito
Nov 13 at 17:16
Which point of $T$ is $V$?
– Paul Frost
Nov 14 at 21:27