‎"BROUWER, L. E. J. [LUITZEN EGBERTUS JAN]. (+) DAVID HILBERT.‎
‎[Brouwer:] Beweis des ebenen Translationssatzes (+) Zur Invarianz des n-dimensionalen Gebiets (+) Beweis der Invarianz der geschlossene Kurve (+) [Hilbert:] Begründung der Kinetischen Gastheorie. - [DISCOVERY OF THE ""INVARIANCE OF DOMAIN""-THEOREM]‎

‎Leipzig, B.G. Teubner, 1912. 8vo. Bound in half cloth with the original printed wrappers. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 68. Band. 3. Heft."" Entire issue offered.Black title-label in leather with gilt lettering to spine. Small library-label pasted on to top of spine. Small library stamp to title page and a few numbers written on front wrapper. Internally very fine and clean. [Brouwer:] Pp. 37-54" Pp. 55-6" Pp. 422-25 [Entire issue: (4), 595 pp.].‎

Reference : 44950

‎First printing of three important papers by Brouwer. In ""Zur Invarianz des n-dimensionalen Gebiets"" Brouwer introduced his ""Invariance of domain"" which is a theorem in topology about homeomorphic subsets of Euclidean space.""The existence of one-to-one correspondences between numerical spaces Rn for different n, shown by Cantor, together with Peano's subsequent example (1890) of a continuous mapping of the unit segment onto the square, had induced mathematicians to conjecture that topological mappings of numerical spaces Rn would preserve the number n (dimension). In 1910 Brouwer proved this conjecture for arbitrary n."" (DSB)‎