Glossary of Terms:

      A   B   C   D   E

      F   G   H   I   J

      K   L   M   N   O

      P   Q   R   S   T

      U   V   W   X   Y

              Z

- A -

- B -

bottle, Klein

- C -

closed surface

compact

connected

connected sum

convex

• envelope
• hull
• set

critical points

• level
• maximum
• minimum
• saddle

cycle

• non-trivial

- D -

double point

double locus

- E -

embedding

envelope, convex

Euler characteristic

extreme vertex

- F -

fold curve

- G -

general position

genus (of a surface)

- H -

height function

• Morse
• polar

homology

hull, convex

- I -

immersion

- J -

- K -

Klein bottle

- L -

level set

linear map

locally one-to-one

- M -

map

• embedding
• immersion
• linear
• locally one-to-one
• one-to-one
• tight

maximum

minimum

Möbius band

Morse height function

- N -

non-orientable

- O -

1-skeleton

one-to-one

• locally

orientable

- P -

polar height function

polyhedral surface

projective plane, real

- Q -

- R -

real projective plane

• with one handle

ruled surface

- S -

saddle point

set, convex

skeleton, 1-

star of a vertex

surfaces

• closed
• compact
• connected
• non-orientable
• orientable
• polyhedral
• ruled
• smooth

smooth surface

- T -

tangent plane

tight

top cycle

top set

torus

total absolute curvature

triple point

two-piece property

- U -

- V -

vertex

• extreme
• star

- W -

wedge of three circles

- X -

- Y -

- Z -