Sumários

Homework 3

8 Outubro 2024, 12:00 Florian Pausinger

We discussed the third homework sheet.


Simplicial Homology

8 Outubro 2024, 10:00 Florian Pausinger

In this class we introduced simplicial homology. In particular, we defined chain-, cycle- and boundary groups and saw how they are related and used to define homology groups.


Homework 2

1 Outubro 2024, 12:30 Florian Pausinger

We discussed the second homework sheet.


Homework 2

1 Outubro 2024, 12:00 Florian Pausinger

We discussed the second homework sheet.


Convex set systems

1 Outubro 2024, 10:00 Florian Pausinger

We studied the Nerve Theorem and saw how to relate a union of convex sets to its nerve. This technique is important whenever we try to use finite point samples to reconstruct a given compact space.

Moreover, we introduced two important types of simplicial complexes, namely the Cech-complex and the Vietoris Rips complex.