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Ordinary smooth boundary point - what is the proper terminology?
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I have a bounded region in the euclidean plane.
I'm looking for the proper terminology for an ordinary, smooth boundary point of the region... ie: it's not a corner and it's not a cutpoint.
So if the region is a square, it would be the points of the boundary other than the corners. If the region is a figure 8, it would the points of the boundary other than the self-intersection point of the boundary.
What's the proper terminology in topology for such a point on the boundary?
general-topology terminology
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
$endgroup$
add a comment |
$begingroup$
I have a bounded region in the euclidean plane.
I'm looking for the proper terminology for an ordinary, smooth boundary point of the region... ie: it's not a corner and it's not a cutpoint.
So if the region is a square, it would be the points of the boundary other than the corners. If the region is a figure 8, it would the points of the boundary other than the self-intersection point of the boundary.
What's the proper terminology in topology for such a point on the boundary?
general-topology terminology
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
$endgroup$
$begingroup$
There is no topological way of describing smoothness.
$endgroup$
– William Elliot
Jan 25 at 11:26
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@WilliamElliot, what about outside topology. Is there any special term for the type of boundary point I'm referring to?
$endgroup$
– Ameet Sharma
Jan 25 at 16:14
$begingroup$
A smooth curve is a curve that can differentiated infinitely times.
$endgroup$
– William Elliot
Jan 25 at 23:51
add a comment |
$begingroup$
I have a bounded region in the euclidean plane.
I'm looking for the proper terminology for an ordinary, smooth boundary point of the region... ie: it's not a corner and it's not a cutpoint.
So if the region is a square, it would be the points of the boundary other than the corners. If the region is a figure 8, it would the points of the boundary other than the self-intersection point of the boundary.
What's the proper terminology in topology for such a point on the boundary?
general-topology terminology
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
$endgroup$
I have a bounded region in the euclidean plane.
I'm looking for the proper terminology for an ordinary, smooth boundary point of the region... ie: it's not a corner and it's not a cutpoint.
So if the region is a square, it would be the points of the boundary other than the corners. If the region is a figure 8, it would the points of the boundary other than the self-intersection point of the boundary.
What's the proper terminology in topology for such a point on the boundary?
general-topology terminology
general-topology terminology
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
asked Jan 24 at 18:46
Ameet SharmaAmeet Sharma
666517
666517
$begingroup$
There is no topological way of describing smoothness.
$endgroup$
– William Elliot
Jan 25 at 11:26
$begingroup$
@WilliamElliot, what about outside topology. Is there any special term for the type of boundary point I'm referring to?
$endgroup$
– Ameet Sharma
Jan 25 at 16:14
$begingroup$
A smooth curve is a curve that can differentiated infinitely times.
$endgroup$
– William Elliot
Jan 25 at 23:51
add a comment |
$begingroup$
There is no topological way of describing smoothness.
$endgroup$
– William Elliot
Jan 25 at 11:26
$begingroup$
@WilliamElliot, what about outside topology. Is there any special term for the type of boundary point I'm referring to?
$endgroup$
– Ameet Sharma
Jan 25 at 16:14
$begingroup$
A smooth curve is a curve that can differentiated infinitely times.
$endgroup$
– William Elliot
Jan 25 at 23:51
$begingroup$
There is no topological way of describing smoothness.
$endgroup$
– William Elliot
Jan 25 at 11:26
$begingroup$
There is no topological way of describing smoothness.
$endgroup$
– William Elliot
Jan 25 at 11:26
$begingroup$
@WilliamElliot, what about outside topology. Is there any special term for the type of boundary point I'm referring to?
$endgroup$
– Ameet Sharma
Jan 25 at 16:14
$begingroup$
@WilliamElliot, what about outside topology. Is there any special term for the type of boundary point I'm referring to?
$endgroup$
– Ameet Sharma
Jan 25 at 16:14
$begingroup$
A smooth curve is a curve that can differentiated infinitely times.
$endgroup$
– William Elliot
Jan 25 at 23:51
$begingroup$
A smooth curve is a curve that can differentiated infinitely times.
$endgroup$
– William Elliot
Jan 25 at 23:51
add a comment |
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$begingroup$
There is no topological way of describing smoothness.
$endgroup$
– William Elliot
Jan 25 at 11:26
$begingroup$
@WilliamElliot, what about outside topology. Is there any special term for the type of boundary point I'm referring to?
$endgroup$
– Ameet Sharma
Jan 25 at 16:14
$begingroup$
A smooth curve is a curve that can differentiated infinitely times.
$endgroup$
– William Elliot
Jan 25 at 23:51