Question

How can we describe mathematically a hole?

Answer 1

like a circle hole or a cylinder hole??

Answer 2

How can i define a shape of a hole? I was thinking about algebraic topology, but i have no idea how to start doing that

Answer 3

ask @ganeshie8

Answer 4

Yeah, these are the two classes of holes, 1D and 2D hole

Answer 5

hmm are u talking about black hols and warm holes ?

Answer 6

oval (usually)

Answer 7

empty space on a 2D plane....

Answer 8

@Marki
http://mathworld.wolfram.com/Hole.html

Answer 9

oh i was gonna represent something like this , but got flunk with physical meaning of it

Answer 10

Hahaha not a black hole or warm hole, the topological surface

Answer 11

:P ok knot work , mobus function work if ur familiar of co-finite topology lets say in R^2
any finite space in it is also a whole hmm

Answer 12

da i like working with co-finite though eh
u can make many wholes just represent ur topological space , define discontinuity as a whole , i guess it works like this :-|

Answer 13

sorry, but i'm not familiar with it... you mean that in a co-finite topology the range of a function on it is considered a hole?

Answer 14

Ohh, so if i have a topologycal space, and i make enought discontinuity i can represent a hole with it?

Answer 15

I found a good discussion here http://math.stackexchange.com/questions/856774/how-do-homology-groups-work

Answer 16

i'll read it, thanks everybody!