[see also: classic]

Theorems 1 to 3 are classical results, due to Lebesgue.

Since most of the results presented are quite classical (the novelty lies in the arrangement, and some of the proofs are new), I have not attempted to document the source of every item.

The following theorem is clearly motivated by the classical LP-decomposition.

Our proofs make substantial use of classical topology of the plane.

[Note the difference between classic and classical: classic means “of acknowledged excellence” or “remarkably typical” ( a classic example); and classical means “well-established, not modern”.]

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