THE GENERALIZATION OF CANTOR'S CONTINUUM HYPOTHESIS

HAUSDORFF, F. [FELIX].

Grundzüge einer Theorie der geordneten Mengen.

Leipzig, B. G. Teubner, 1908. 8vo. Original printed wrappers, no backstrip. In "Mathematische Annalen. Begründet 1908 durch Alfred Clebsch und Carl Neumann. 65. Band. 4. Heft." Entire issue offered. Wrappers with a few nicks, internally fine and clean. [Hausdorff:] Pp. 435-505. [Entire issue: Pp. 433-575].

First printing of Hausdorff important paper in which a generalization of Cantor's Continuum Hypothesis was presented for the first time. This is equivalent to what is now called the Generalized Continuum Hypothesis.

The continuum hypothesis is a hypothesis, put forth by Georg Cantor in 1877, about the possible sizes of infinite sets. It states: "There is no set whose cardinality is strictly between that of the integers and that of the real numbers."

Felix Hausdorff is considered to be one of the founders of modern topology and he contributed significantly to set theory, descriptive set theory, measure theory, function theory, and functional analysis.

Order-nr.: 44768