2 papers
math.AT2016
Death and extended persistence in computational algebraic topology
Timothy Hosgood
The main aim of this paper is to explore the ideas of persistent homology and extended persistent homology, and their stability theorems, using ideas from [Bubenik and Scott, 2014;…
math.AG2016
An introduction to varieties in weighted projective space
Timothy Hosgood
Weighted projective space arises when we consider the usual geometric definition for projective space and allow for non-trivial weights. On its own, this extra freedom gives rise t…