49 Facts About Felix Hausdorff

Felix Hausdorff was an educated man and had become a Morenu at the age of 14.

Felix Hausdorff wrote several treatises, including a long work on the Aramaic translations of the Bible from the perspective of Talmudic law.

From 1878 to 1887 Felix Hausdorff attended the Nicolai School in Leipzig, a facility that had a reputation as a hotbed of humanistic education.

Felix Hausdorff was an excellent student, class leader for many years and often recited self-written Latin or German poems at school celebrations.

Felix Hausdorff decided to study the natural sciences, and in his graduating class of 1887 he was the only one who achieved the highest possible grade.

From 1887 to 1891 Felix Hausdorff studied mathematics and astronomy, mainly in his native city of Leipzig, interrupted by one semester in Freiburg and Berlin.

In later semesters of his studies, Felix Hausdorff was close to Heinrich Bruns.

Under his supervision, Felix Hausdorff graduated in 1891 with a work on the theory of astronomical refraction of light in the atmosphere.

In 1899 Felix Hausdorff married Charlotte Goldschmidt, the daughter of Jewish doctor Siegismund Goldschmidt.

Felix Hausdorff's stepmother was the famous suffragist and preschool teacher Henriette Goldschmidt.

Felix Hausdorff's only child, his daughter Lenore, was born in 1900; she survived the era of National Socialism and enjoyed a long life, dying in Bonn in 1991.

In December 1901 Felix Hausdorff was appointed as adjunct associate professor at the University of Leipzig.

An often-repeated factoid, that Felix Hausdorff got a call from Gottingen and rejected it, cannot be verified and is most likely wrong.

The minority was opposed, because Dr Felix Hausdorff is of the Mosaic faith.

In Bonn, Felix Hausdorff was friends and colleagues with Eduard Study, and later with Otto Toeplitz, who were both outstanding mathematicians.

Felix Hausdorff was not initially concerned by the "Law for the Restoration of the Professional Civil Service", adopted in 1933, because he had been a German public servant since before 1914.

On March 31,1935, after some back and forth, Felix Hausdorff was finally given emeritus status.

Felix Hausdorff wrote, in addition to the expanded edition of his work on set theory, seven works on topology and descriptive set theory.

Felix Hausdorff was supported at this time by Erich Bessel-Hagen, a loyal friend to the Hausdorff family who obtained books and magazines from the academic library, which Hausdorff was no longer allowed to enter.

In 1939, Felix Hausdorff asked the mathematician Richard Courant, in vain, for a research fellowship to be able to emigrate into the USA.

Felix Hausdorff's library was sold by his son-in-law and sole heir, Arthur Konig.

The subtitle plays first on the fact that Felix Hausdorff had completed his book during a recovery stay on the Ligurian coast by Genoa and that in this same area, Friedrich Nietzsche wrote the first two parts of Thus Spoke Zarathustra; he alludes to his spiritual closeness to Nietzsche.

Felix Hausdorff was not trying to copy or even exceed Nietzsche.

Felix Hausdorff follows Nietzsche in an attempt to liberate individual thinking, to take the liberty of questioning outdated standards.

Felix Hausdorff maintained critical distance to the late works of Nietzsche.

In 1904, in the magazine The New Rundschau, Felix Hausdorff's play appeared, the one-act play The doctor of his honor.

Felix Hausdorff later wrote an epilogue to the play, but it was not performed at that time.

Besides the works mentioned above, Felix Hausdorff wrote numerous essays that appeared in some of the leading literary magazines of the time.

Felix Hausdorff did just that in his first volume of 1901, with the publication of theoretical studies of "graded sets".

In 1904 Felix Hausdorff published the recursion named after him, which states that for each non-limit ordinal we have.

The fact that it was Felix Hausdorff who clarified the mistake carries a special significance, since a false impression of the events in Heidelberg lasted for over 50 years.

Felix Hausdorff had already noticed that such numbers, if they exist, must be of "exorbitant size".

One can easily find a necessary condition for, but Felix Hausdorff was able to show that this condition is sufficient.

Felix Hausdorff's -sets formed the starting point for the study of the important model theory of saturated structure.

The question of whether any ordered subset of a partially ordered set is contained in a maximal ordered subset was answered in the positive by Felix Hausdorff using the well-ordering theorem.

Felix Hausdorff's textbook was the first to present all of set theory in this broad sense, systematically and with full proofs.

Felix Hausdorff was aware of how easily the human mind can err while seeking for rigor and truth, so in the preface of his work he promises:.

Felix Hausdorff founded and developed the theory of the connected set, particularly through the introduction of the terms "component" and "quasi-component".

Frechet's work is not particularly famous; only through Felix Hausdorff's Principles did metric spaces become common knowledge to mathematicians.

Felix Hausdorff's Principles was cited in the very first volume of Fundamenta Mathematicae, and through citation counting its influence continued at a remarkable rate.

One must take into account the fact that, as Felix Hausdorff's ideas became increasingly commonplace, so too were they used in a number of works that did not cite them explicitly.

In 1916, Alexandroff and Felix Hausdorff independently solved the continuum problem for Borel sets: Every Borel set in a complete separable metric space is either countable or has the cardinality of the continuum.

For linear sets William Henry Young had proved the result in 1903, for sets Felix Hausdorff obtained a corresponding result in 1914 in Principles.

The theorem of Alexandroff and Felix Hausdorff was a strong impetus for further development of descriptive set theory.

The concept of Felix Hausdorff dimension is useful for the characterization and comparison of "highly rugged quantities".

Significant analytical work of Felix Hausdorff occurred in his second time at Bonn.

Every Felix Hausdorff method is given by a moment sequence; in this context Felix Hausdorff gave an elegant solution of the moment problem for a finite interval, bypassing the theory of continued fractions.

In 1919, in About semi-continuous functions and their generalization, Felix Hausdorff had, among other things, given another proof of the Tietze extension theorem.

The work Graded spaces appeared in 1935, where Felix Hausdorff discussed spaces which fulfilled the Kuratowski closure axioms up to the axiom of idempotence.