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Foreword to the English edition ll
1 The disjunction and conjunction of propositions
57 other sections not shown
arbitrary assumption axiom Betti number bicompact boundary set Cantor set Cantor theorem cartesian product Chapter XII closed interval closed sets closed subset closure compact space component connected set continuous function continuous mapping Corollary countable number deduce definition dense dimension elements entire space Euclidean space Exercise exists a point f is continuous finite number following theorem formula func function defined function f given hence Hilbert cube Hint homeomorphic inequality intersection lemma Let f Let us assume Let us set locally connected space metric space n-dimensional natural numbers necessary and sufficient non-empty one-to-one open sets open-closed sets ordinal numbers plane points belonging polygonal Proof rational numbers real numbers Remark satisfies condition segment separable space sequence of points sequence pl set F set H set theory simplex spherical neighborhood sufficient condition tinuous topological space topology uniformly convergent union variable virtue of Theorem whence