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Compact topological surfaces
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v
t
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Compact topological surfaces and their immersions in 3D
Without boundary
Orientable
Sphere
(genus 0)
Torus
(genus 1)
Number 8 (genus 2)
Pretzel (genus 3) ...
Non-orientable
Real projective plane
genus 1;
Boy's surface
Roman surface
Klein bottle
(genus 2)
Dyck's surface
(genus 3) ...
With boundary
Disk
Semisphere
Ribbon
Annulus
Cylinder
Möbius strip
Cross-cap
Sphere with three holes
...
Related
notions
Properties
Connectedness
Compactness
Triangulatedness
or
smoothness
Orientability
Characteristics
Number of
boundary
components
Genus
Euler characteristic
Operations
Connected sum
Making a hole
Gluing a
handle
Gluing a
cross-cap
Immersion
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:
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Compact topological surfaces
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