Hi Jordi,

Even if they are developed independently, at some point, both Topology
and Algebra join again for topologic-algebraic structures, like Hilbert
spaces.

There was this very interesting post by Mattia Morgavi, who drew a graph
based on relations between Metamath theorems in set.mm:

   https://groups.google.com/forum/#!msg/metamath/uFXl6ogSDyQ/2SxbhqFzCwAJ

However, it's not visible from his graph whether there are dependencies
between Algebra and Topology or not...

Note that in set.mm our "early definition" of the complex numbers as a
structure with both algebraic and topological properties also forces us
to pull some topological definitions earlier than they are really needed.

BR,
_
Thierry

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