Hi all,

I am an undergraduate student double majoring in mathematics and computer 
science at the American University in Cairo. I am currently taking a 
topology course. I am interested to work with Sage on either Topology 
projects or Matroid theory. I would appreciate it if you can guide me to 
decide on my exact project.

Matroid theory:
I think Chao Xu already posted about connectivity algorithms in matroid 
theory. So I though of building the other miscellaneous milestones for 
extending matroid theory in Sage such as automorphisms and certificates and 
improving its catalog. What do you think? I just want to avoid duplication 
in proposals so that the sage community benefits as much as possible.

Topology:
Another project would be to start writing code related to topology in Sage. 
I think this would involve representing topological, deciding whether a 
space is topological, homeorphism, connectedness and path-connectedness. It 
can also deal with metrics and metric spaces. If there is a potential 
mentor interested in this, we can dive into more details.

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