Thesis--K.B. Friedrich-Alexanders-Universität, 1910.

Thesis--Ruprecht-Karls-Universität zu Heidelberg. / Lebenslauf.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1968. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (Ph. D.)--University of Illinois, 1917. / Vita. "Extracted from the Tokohu mathematical journal, vol. 13, 1918, edited by tsuruichi Hayashi." Bibliography: p. 13-14.

Thesis (Ph. D.)--Johns Hopkins University.

Ing.-diss.--Greifswald. / Cover-title. Lebenslauf.

Thesis (Ph. D.)--Princeton University, 1915. / Cover-title. Reprinted from the Annals of mathematics, vol. 16, no. 3 (March, 1915)

Thesis (Ph.D.)--University of Illinois, 1917. / Vita. "Extracted from the Tokohu mathematical journal, vol. 13, 1918, edited by tsuruichi Hayashi." Bibliography: p. 13-14.

Thesis (Ph.D.)--Johns Hopkins University.

A simple closed curve J is constructed in R³ which fails to pierce a disc at only one point. The intersections of various surfaces in R³ are investigated to prove that J has the desired property. Heavy use is made of approximation of surfaces in R³ with polyhedral surfaces. J is used to construct simple closed curves which fail to pierce discs at various finite and infinite sets of points. The most interesting of these is a simple closed curve which pierces a disc at one dense set of points while failing to pierce a disc at another dense set of points which has measure 0. / Science, Faculty of / Mathematics, Department of / Graduate