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.
terminology
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up vote
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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.
terminology
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
 |Â
show 1 more comment
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.
terminology
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.
terminology
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
 |Â
show 1 more comment
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
 |Â
show 1 more comment
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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