Surfaces

Question 1

Define a surface

Answer 1

Question 2

Define the boundary of a surface

Answer 2

Question 3

Define the interior of a surface and a closed surface

Answer 3

Question 4

Can every surface be triangulated

Answer 4

Question 5

Define the open star

Answer 5

Question 6

Let M be a topological space triangulated by a connected, finite simplicial complex K. Then M is a closed surface if and only if

Answer 6

Question 7

Define orientable

Answer 7

Question 8

Define non orientable

Answer 8

Question 9

S1 and S2 are homeomorphic what does that imply about their orientability

Answer 9

Question 10

Define the connected sum

Answer 10

Question 11

Define the closed orientable surface of genus g

Answer 11

Question 12

Define adding handles

Answer 12

Question 13

Define adding cross cap

Answer 13