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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

0 votes
0 answers
55 views

Representation of multi-variable functions as a composition of 1- or 2-variable functions [duplicate]

This is a re-post of my question from M.SE that remains unanswered for several months. I'm familiar with Kolmogorov–Arnold representation theorem, but AFAIK their construction makes essential use of …
Vladimir Reshetnikov's user avatar
4 votes
2 answers
371 views

Heights of several interesting posets

Let the height of a poset $P$ be the supremum of ordinals that are order types of all well-ordered subsets of $P$ (with order inherited from $P$). Define several sets of total functions, in each ca …
Vladimir Reshetnikov's user avatar