On the Congruence of Sets and Their Equivalence by Finite Decomposition |
Contents
Congruence of sets | 1 |
Translation of sets | 10 |
Equivalence of sets by finite | 24 |
Copyright | |
7 other sections not shown
Common terms and phrases
A₁ A₂ according aggregate aid of Zermelo's angle arbitrary axis B₁ B₂ Banach's measure bounded set C₁ C₂ common point congruence of sets congruent contains continuum decom decomposed denote the set disjoint sets distinct points E₁ E₂ easily seen enumerable set equivalent by decomposition equivalent by finite Euclidean space evidently exists a plane exists a set finite decomposition finite number formulae Fund Fundamenta Mathematicae G₁ H₂ hence hypothesis infinite sets interval Lebesgue sense lemma length Let us suppose linear distinct sets linear set Math measure zero metric space N₁[r N₂[r natural number obtained P₂ plane set points P₁ positive integer positive number Proof proved Q₁ Q₂ R₁ r₂ rational numbers real numbers rotation segment sequence G set E set H set situated sets of points Sierpinski straight line superposable by translation Tarski theorem 14 theorem 23 tion whence x₁ Zermelo's axiom