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Theorems from General Topology (MSC2010: 54)   

This is a subset of the complete theorem list for the convenience of those who are looking for a particular result in the theory of general topology.

To see how this area fits into mathematics as a whole you can consult the Mathematics Subject Classification. Dave Rusin's Atlas entry is also valuable. There will inevitably be theorems which could appear here but don't and those which might be felt to belong elsewhere. I welcome comments.

Numbers in brackets are those from the complete listing.

 

1 (16)      Sperner's Lemma

2 (18)      Brouwer's Fixed Point Theorem

3 (122)   The Borsuk-Ulam Theorem

3 (122)   Heath's Finitely Discontinuous Function Theorem


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