Ordinary smooth boundary point - what is the proper terminology?












0












$begingroup$


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







share|cite|improve this question









$endgroup$












  • $begingroup$
    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
















0












$begingroup$


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







share|cite|improve this question









$endgroup$












  • $begingroup$
    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














0












0








0





$begingroup$


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







share|cite|improve this question









$endgroup$




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






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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


















  • $begingroup$
    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










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