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Questions asking for the intuition behind some definition, conjecture, proof etc. In other words, questions designed to improve or to acquire understanding on a conceptual or intuitive level, as opposed to on a technical or formal level. When asking such a question it can be helpful to include a rough description of ones understanding of the subject at hand (on a technical level).

44 votes

Colloquial catchy statements encoding serious mathematics

"A projective module is the splittin' image of a free module."
14 votes
Accepted

Geometric intuition behind this chain homotopy

When thinking about chain homotopies in a setting involving simplices it can be helpful to consider the product $\Delta^p\times I$ where $\Delta^p$ is a $p$-simplex and $I=[0,1]$. The formula $h\sigm …
Allen Hatcher's user avatar