genoveffo

I always found interesting that the English mathematical terminology has two different names for "stuff that locally looks like R^n" (manifold) and "stuff that is the zero locus of a polynomial" (variety). Other languages use the same word for both, adding maybe an adjective to specify which one is meant if not clear from the context. In Italian for example they're both "varietà"

Is there a clear application to a practical, real world data set where TDA is the state of the art? Don’t get me wrong, I love maths and topology in particular but I’m trying to understand what are the advantages that these techniques bring to the table

Tried on NYT and does not work…

Yeah sure, I just wanted to check if there were any alternatives to the "usual" websites. Thanks anyway.