On different reliability standards in current mathematical research

Abstract

In this note I describe reliability standards for writing and reviewing mathematical papers; these standards are (in my opinion) vital for the progress of mathematics. I give examples of applying the described or other reliability standards.

40 pages, no figures; exposition improved, some examples added

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Cited by in corpus (1)

• A short proof of the Patak-Tancer theorem on non-embeddability of $k$-complexes in $2k$-manifolds