MENGER, KARL.

Grundzüge einer Theorie der Kurven.

(Berlin, Julius Springer, 1926). 8vo. Without wrappers. Extracted from "Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 95. Band". Pp. 278-306.

First printing. "In the present paper Karl Menger proves that if M is a bounded continuum containing no domain then a necessary and sufficient. Condition that M be a continuous curve [regular curve§] is that, for each positive number e, M is the sum of a finite number of continua all of diameter less than e, such that the common part of any two of these continua is vacuous or totally disconnected [finite]." (Roberts. Concerning Non-Dense Plane Continua).

Order-nr.: 44774