Mathematics

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Maths course notes, McGill University in the eighties

I completed my studies at McGill University/Montral in the 1980s. I still have all my course notes, which are in impeccable condition (several thousand handwritten...

Logic&Topology

This is an example from Munkres Topology book. In this example, it is shown that has no countable basis. However it makes use...

I have always thought that Urysohn's Metrization Theorem is not provable in ZF

I have always thought that Urysohn's Metrization Theorem is not provable in ZF and you need to use at least the axiom of dependant choice(DC)...

is there a way to see why the sum of the first n odd numbers is n^2 without induction?

i know the induction proof and the picture of stacking l-shaped layers into a square, but i'm trying to explain it to a student who...