mathematics, the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies. For Jordan...

crystallography, and for work in topology. Schoenflies was born in Landsberg an der Warthe (modern Gorzów, Poland). Arthur Schoenflies married Emma Levin (1868–1939)...

Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved 1910) Tait's conjecture Von Neumann conjecture...

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...

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,...

Carathéodory's theorem (conformal mapping) Jordan curve theorem Schoenflies problem Kodaira 2007, pp. 257, 293 Napier & Ramachandran 2011, pp. 267, 335...

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...

the 3-Dimensional Poincaré Conjecture and the 4-Dimensional Smooth Schoenflies Problem, arXiv:math.GT/0612554. Valentin Poenaru, Sur les variétés tridimensionnelles...

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...

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...

restricted to countable covers. Pierre Cousin (1895), Lebesgue (1898) and Schoenflies (1900) generalized it to arbitrary covers. If a set is compact, then...

geometric topology. In an elementary fashion, he proved the generalized Schoenflies conjecture (his complete proof required an additional result by Marston...

MR 0117695. Morse, Marston (1960). "A reduction of the Schoenflies extension problem". Bulletin of the American Mathematical Society. 66 (2): 113–115...

theorem Coxeter group Crystallographic group Crystallographic point group, Schoenflies notation Discrete group Euclidean group Even and odd permutations Frieze...

Evgraf Fedorov and Arthur Schoenflies. The problem was generalized in David Hilbert's eighteenth Problem, and the Fedorov–Schoenflies Theorem was generalized...

into set of techniques called Bing shrinking. Proofs of the generalized Schoenflies conjecture and the double suspension theorem relied on Bing-type shrinking...

kirstallographischen Resultate des Herrn Schoenflies und der meinigen" [Compilation of the crystallographic results of Mr. Schoenflies and of mine]. Zeitschrift für...

these 5 operations. The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions...

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...

indicate the lattice angles, lattice parameters, Bravais lattices and Schöenflies notations for the respective lattice systems. In four dimensions, there...

necessary condition for the existence of strong extrema of variational problems. He also helped devise the Weierstrass–Erdmann condition, which gives sufficient...

Vallée Poussin had already been critically analyzed and completed by Schoenflies (1924). Due to the importance of the Jordan curve theorem in low-dimensional...

decreasing sequence of cardinals. The equivalence was conjectured by Schoenflies in 1905. Abstract algebra Hahn embedding theorem: Every ordered abelian...

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...

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...

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...

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...

the global average temperature. Fyodorov–Schoenflies theorem concluded by Yevgraf Fyodorov and Arthur Schoenflies from their work on crystallographic groups...

Sohncke's work) by a collaborative effort of Evgraf Fedorov and Arthur Schoenflies. 1895 – Wilhelm Conrad Röntgen discovers X-rays in experiments with electron...

graduated from the Mathematics department with the thesis Polyhedral Schoenflies theorem in three-dimensional Euclidean space and received the student...