It’s about time we got back to computational topology. Previously in this series we endured a lightning tour of the fundamental group and homology, then we saw… 1,762 more words

## Tags » Simplicial Complex

#### Simplicial Complex.

In mathematics, a simplicial complex is a topological space of a certain kind, constructed by “gluing together” points, line segments, triangles, and their n-dimensional counterparts. Basically from what I understand its a way of creating space out of simplexes. 87 more words

#### Representing an Abstract Simplicial Complex in Python

**What’s an abstract simplicial complex?**

So what is an abstract simplicial complex? It is a collection of finite sets that are closed under taking subsets. 1,370 more words

#### Numerical work with sage 4 - All possible triangulations of a simplicial complex using pachner moves

So what I’ve been able to do using sagemath is triangulate a simplicial complex using Pachner moves. The complete set of all possible triangulations can be recorded, saved and plotted in 3d using jmol. 75 more words

#### Homology Theory — A Primer

This series on topology has been long and hard, but we’re are quickly approaching the topics where we can actually write programs. For this and… 3,576 more words

#### A Bosuk-Ulam-kind theorem for simplexes

This little note came out of a lunch discussion with NYU grad student Alfredo Hubard earlier this week. I think the problem-solving process was quite amusing hence worth shearing. 796 more words

#### Lecture 8a. A primer on simplicial complexes and collapsibility

Before we can apply more advanced fixed point theorems to the Evasiveness Conjecture, we need a little background on simplicial complexes, and everything starts with… 677 more words