mathematics, the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies. For Jordan...
30 KB (4,226 words) - 18:55, 28 January 2023
crystallography, and for work in topology. Schoenflies was born in Landsberg an der Warthe (modern Gorzów, Poland). Arthur Schoenflies married Emma Levin (1868–1939)...
5 KB (367 words) - 11:26, 18 July 2024
Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved 1910) Tait's conjecture Von Neumann conjecture...
36 KB (1,566 words) - 06:04, 20 July 2024
admits an exotic smooth structure is another open problem, closely linked to the Schoenflies problem in dimension four. Let M {\displaystyle M} be a Mazur...
6 KB (848 words) - 19:27, 9 May 2024
Akbulut-Kirby 4-sphere, with relevance to the Andres-Curtis and Schoenflies problems", Topology, 30: 123–136, doi:10.1016/0040-9383(91)90036-4 Gompf,...
29 KB (3,844 words) - 19:54, 8 August 2024
Carathéodory's theorem (conformal mapping) Jordan curve theorem Schoenflies problem Kodaira 2007, pp. 257, 293 Napier & Ramachandran 2011, pp. 267, 335...
38 KB (5,224 words) - 01:14, 26 June 2024
family of functions where two critical points are destroyed. The PL-Schoenflies problem for S 2 ⊂ R 3 {\displaystyle S^{2}\subset \mathbb {R} ^{3}} was solved...
10 KB (1,656 words) - 06:23, 25 July 2024
the 3-Dimensional Poincaré Conjecture and the 4-Dimensional Smooth Schoenflies Problem, arXiv:math.GT/0612554. Valentin Poenaru, Sur les variétés tridimensionnelles...
6 KB (513 words) - 03:15, 12 December 2023
David Hilbert (redirect from Gordan's problem)
others, could be substituted, as Hilbert is reported to have said to Schoenflies and Kötter, by tables, chairs, glasses of beer and other such objects...
58 KB (6,933 words) - 17:25, 14 August 2024
Marston; Baiada, Emilio (1953), "Homotopy and homology related to the Schoenflies problem", Annals of Mathematics, 2, 58: 142–165, doi:10.2307/1969825, MR 0056922...
2 KB (277 words) - 13:27, 12 January 2023
restricted to countable covers. Pierre Cousin (1895), Lebesgue (1898) and Schoenflies (1900) generalized it to arbitrary covers. If a set is compact, then...
14 KB (2,041 words) - 21:20, 23 January 2024
geometric topology. In an elementary fashion, he proved the generalized Schoenflies conjecture (his complete proof required an additional result by Marston...
11 KB (916 words) - 13:20, 16 July 2024
MR 0117695. Morse, Marston (1960). "A reduction of the Schoenflies extension problem". Bulletin of the American Mathematical Society. 66 (2): 113–115...
23 KB (2,508 words) - 21:20, 11 January 2024
List of group theory topics (section Famous problems)
theorem Coxeter group Crystallographic group Crystallographic point group, Schoenflies notation Discrete group Euclidean group Even and odd permutations Frieze...
10 KB (800 words) - 20:17, 10 January 2024
Evgraf Fedorov and Arthur Schoenflies. The problem was generalized in David Hilbert's eighteenth Problem, and the Fedorov–Schoenflies Theorem was generalized...
18 KB (2,080 words) - 01:45, 24 January 2024
into set of techniques called Bing shrinking. Proofs of the generalized Schoenflies conjecture and the double suspension theorem relied on Bing-type shrinking...
10 KB (1,048 words) - 11:08, 28 July 2024
kirstallographischen Resultate des Herrn Schoenflies und der meinigen" [Compilation of the crystallographic results of Mr. Schoenflies and of mine]. Zeitschrift für...
55 KB (4,233 words) - 03:58, 14 August 2024
these 5 operations. The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions...
60 KB (7,796 words) - 21:29, 29 June 2023
axiomatic method employed by second group composed of Zermelo, Fraenkel and Schoenflies, von Neumann worried that "We see only that the known modes of inference...
41 KB (5,021 words) - 06:29, 26 July 2024
indicate the lattice angles, lattice parameters, Bravais lattices and Schöenflies notations for the respective lattice systems. In four dimensions, there...
21 KB (2,438 words) - 20:04, 9 May 2024
necessary condition for the existence of strong extrema of variational problems. He also helped devise the Weierstrass–Erdmann condition, which gives sufficient...
16 KB (1,625 words) - 00:36, 14 August 2024
Vallée Poussin had already been critically analyzed and completed by Schoenflies (1924). Due to the importance of the Jordan curve theorem in low-dimensional...
27 KB (3,279 words) - 04:03, 29 July 2024
decreasing sequence of cardinals. The equivalence was conjectured by Schoenflies in 1905. Abstract algebra Hahn embedding theorem: Every ordered abelian...
58 KB (7,665 words) - 22:40, 5 August 2024
structure has a point group 6 mm (Hermann–Mauguin notation) or C6v (Schoenflies notation), and the space group is P63mc or C6v4. The lattice constants...
73 KB (8,143 words) - 10:51, 23 July 2024
Rotation by θ = 360°/n for any positive integer n is denoted Cn (from the Schoenflies notation for the group Cn that it generates). The identity operation...
60 KB (5,081 words) - 08:25, 12 July 2024
indecomposable continuum that disproved a conjecture made by Arthur Moritz Schoenflies that, if X 1 {\displaystyle X_{1}} and X 2 {\displaystyle X_{2}} are...
8 KB (1,145 words) - 01:07, 8 January 2024
also equivalent to the axiom of choice. Writing in 1908, Arthur Moritz Schoenflies found in his report on set theory that the newer theory of ordered sets...
55 KB (7,450 words) - 11:19, 18 July 2024
the global average temperature. Fyodorov–Schoenflies theorem concluded by Yevgraf Fyodorov and Arthur Schoenflies from their work on crystallographic groups...
11 KB (1,095 words) - 17:01, 16 June 2024
Sohncke's work) by a collaborative effort of Evgraf Fedorov and Arthur Schoenflies. 1895 – Wilhelm Conrad Röntgen discovers X-rays in experiments with electron...
56 KB (5,967 words) - 23:41, 13 July 2024
graduated from the Mathematics department with the thesis Polyhedral Schoenflies theorem in three-dimensional Euclidean space and received the student...
7 KB (638 words) - 21:49, 24 March 2024