1. Other
  2. Other
  3. 121 try to define precisely what a ddimensional hole of...

Question: 121 try to define precisely what a ddimensional hole of...

Question details

1.2.1 Try to define precisely what a d-dimensional hole of size R in a finite set of points P in the Euclidean space Rd can be. Use some examples that convince me that yours is a good definition. Play devils advocate and use some exam- ples to show that your definition sometimes produces not what youd expect. (Thats unless you think your definition is perfect.) Can persistent homology detect the d-dimensional holes according to your definition? Under what con- ditions? What dimension of persistent homology do you need to use for that?

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution