A sphere missing a piece is called what? an incomplete sphere?

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What can we call a sphere that is missing a spherical sector or any other connected piece ?
What can we call a sphere minus an open simple curve ?



I have found in page 96 in "Heather A. Dye,An Invitation to Knot Theory: Virtual and Classical, CRC Press, 2016"
that a punctured sphere is formed by selecting a single point on the sphere
and removing all points withing a certain distance, say $delta$, from that point while keeping points with the exact distance $delta$ to form a boundary.







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  • 2




    A punctured sphere?
    – Bernard
    Jul 17 at 13:55










  • @Bernard sounds plausible. What about a cracked sphere for the ones missing an open simple curve.
    – Medo
    Jul 17 at 13:56






  • 1




    @bernard A punctured sphere sounds like a sphere missing a single point, not a region of positive length or area.
    – Mark S.
    Jul 17 at 13:58











  • @Mark S. I added a remark in the question.
    – Medo
    Jul 17 at 14:14






  • 1




    A crippled sphere :P
    – gimusi
    Jul 17 at 14:17














up vote
1
down vote

favorite












What can we call a sphere that is missing a spherical sector or any other connected piece ?
What can we call a sphere minus an open simple curve ?



I have found in page 96 in "Heather A. Dye,An Invitation to Knot Theory: Virtual and Classical, CRC Press, 2016"
that a punctured sphere is formed by selecting a single point on the sphere
and removing all points withing a certain distance, say $delta$, from that point while keeping points with the exact distance $delta$ to form a boundary.







share|cite|improve this question

















  • 2




    A punctured sphere?
    – Bernard
    Jul 17 at 13:55










  • @Bernard sounds plausible. What about a cracked sphere for the ones missing an open simple curve.
    – Medo
    Jul 17 at 13:56






  • 1




    @bernard A punctured sphere sounds like a sphere missing a single point, not a region of positive length or area.
    – Mark S.
    Jul 17 at 13:58











  • @Mark S. I added a remark in the question.
    – Medo
    Jul 17 at 14:14






  • 1




    A crippled sphere :P
    – gimusi
    Jul 17 at 14:17












up vote
1
down vote

favorite









up vote
1
down vote

favorite











What can we call a sphere that is missing a spherical sector or any other connected piece ?
What can we call a sphere minus an open simple curve ?



I have found in page 96 in "Heather A. Dye,An Invitation to Knot Theory: Virtual and Classical, CRC Press, 2016"
that a punctured sphere is formed by selecting a single point on the sphere
and removing all points withing a certain distance, say $delta$, from that point while keeping points with the exact distance $delta$ to form a boundary.







share|cite|improve this question













What can we call a sphere that is missing a spherical sector or any other connected piece ?
What can we call a sphere minus an open simple curve ?



I have found in page 96 in "Heather A. Dye,An Invitation to Knot Theory: Virtual and Classical, CRC Press, 2016"
that a punctured sphere is formed by selecting a single point on the sphere
and removing all points withing a certain distance, say $delta$, from that point while keeping points with the exact distance $delta$ to form a boundary.









share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 17 at 14:18
























asked Jul 17 at 13:54









Medo

454112




454112







  • 2




    A punctured sphere?
    – Bernard
    Jul 17 at 13:55










  • @Bernard sounds plausible. What about a cracked sphere for the ones missing an open simple curve.
    – Medo
    Jul 17 at 13:56






  • 1




    @bernard A punctured sphere sounds like a sphere missing a single point, not a region of positive length or area.
    – Mark S.
    Jul 17 at 13:58











  • @Mark S. I added a remark in the question.
    – Medo
    Jul 17 at 14:14






  • 1




    A crippled sphere :P
    – gimusi
    Jul 17 at 14:17












  • 2




    A punctured sphere?
    – Bernard
    Jul 17 at 13:55










  • @Bernard sounds plausible. What about a cracked sphere for the ones missing an open simple curve.
    – Medo
    Jul 17 at 13:56






  • 1




    @bernard A punctured sphere sounds like a sphere missing a single point, not a region of positive length or area.
    – Mark S.
    Jul 17 at 13:58











  • @Mark S. I added a remark in the question.
    – Medo
    Jul 17 at 14:14






  • 1




    A crippled sphere :P
    – gimusi
    Jul 17 at 14:17







2




2




A punctured sphere?
– Bernard
Jul 17 at 13:55




A punctured sphere?
– Bernard
Jul 17 at 13:55












@Bernard sounds plausible. What about a cracked sphere for the ones missing an open simple curve.
– Medo
Jul 17 at 13:56




@Bernard sounds plausible. What about a cracked sphere for the ones missing an open simple curve.
– Medo
Jul 17 at 13:56




1




1




@bernard A punctured sphere sounds like a sphere missing a single point, not a region of positive length or area.
– Mark S.
Jul 17 at 13:58





@bernard A punctured sphere sounds like a sphere missing a single point, not a region of positive length or area.
– Mark S.
Jul 17 at 13:58













@Mark S. I added a remark in the question.
– Medo
Jul 17 at 14:14




@Mark S. I added a remark in the question.
– Medo
Jul 17 at 14:14




1




1




A crippled sphere :P
– gimusi
Jul 17 at 14:17




A crippled sphere :P
– gimusi
Jul 17 at 14:17















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