Mathematical addiction - looking for your next fix, non?

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OK, so the word "addiction" has obvious negative connotations, but am I alone - methinks not - in being far more than just "interested" in maths, and actually more of a border-line addict, always looking for that next discovery/fix...?

Bad mammal! lol (Heidy)(Heidy)(Heidy)
 
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Of course you're not alone...I keep a syringe full of algebra nearby in case my usual dealer runs out.
 
(whispers) I'll trade you 3 full vials of Quantum Electrodynamics for a bottle of non-linear PDEs. It's a great value.

-Dan
 
Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...
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