X-Nico

unusual facts about König's lemma


König's theorem

König's lemma (also known as König's infinity lemma), named after Dénes Kőnig


Akhavan

Navíd Akhavan (born 1980), Iranian-German actor; plays Hakan in the German comedy TV series König von Kreuzberg

Aronszajn tree

The existence of Aronszajn trees (=\aleph 1-Aronszajn trees) was proven by Nachman Aronszajn, and implies that the analogue of König's lemma does not hold for uncountable trees.

Atacan Öztürk

Same year Elazığspor was relegated and some players left their clubs including goalkeeper Miroslav König.When Miroslav König left the team Oğuzhan Bahadır was signed as the new first-choice goalkeeper.

Battle of Bautzen

Finally, generals Wittgenstein and Blücher were ordered to stop at Bautzen by Tsar Alexander I and König Frederick William III.

Black Death Jewish persecutions

In Germany there had already been massacres stirred up by local demagogues: the Roettingen "Knight Rindfleisch," the Rintfleisch massacres (1298), and the innkeeper-knight Arnold von Uissigheim König Armleder ("King Leatherarm") of the Armleder massacres (1336–38).

Brock Norman Brock

He lives in the East End of London with his partner Cara Konig-Brock and their two children.

Burnside's lemma

Consequently, this lemma is sometimes referred to as the lemma that is not Burnside's.

Canberra Choral Society

Other performances in 2004 included Duruflé's Requiem and Rutter's Gloria, as well as Mozart's Vesperae Solennes de Confessore (the Solemn Vespers), K339 and Thamos, König in Ägypten (Thamos, King of Egypt), K345 in its final concert for the year.

Church of the Holy Ghost, Bern

From 1693 to 1698 the hospital's chief minister was the Pietist theologian, Samuel Heinrich König.

Der König verneigt sich und tötet

Der König verneigt sich und tötet (The King Bows and Kills) is an essay book in German by Nobel Prize-winning author Herta Müller.

Franz König

Until his death, Cardinal König was active in the Archdiocese of Vienna.

Gott ist mein König, BWV 71

(One or two cantatas, for example Nach dir, Herr, verlanget mich, BWV 150, may have been written at Arnstadt, his previous residence, for performance at Mühlhausen.) Gott ist mein König, along with another cantata (now lost) composed the following year, was written for the annual service that took place on February 4, the day after the city held elections to install a new city council.

Hensel's lemma

Masayoshi Nagata proved in the 1950s that for any commutative local ring A with maximal ideal m there always exists a smallest ring Ah containing A such that Ah is Henselian with respect to mAh.

Completeness of a ring is not a necessary condition for the ring to have the Henselian property: Goro Azumaya in 1950 defined a commutative local ring satisfying the Henselian property for the maximal ideal m to be a Henselian ring.

Herman Charles Koenig

Koenig was born in Hoboken, New Jersey, the last child in the family of Herman Koenig (listed as “Henry König” in the 1870 U. S. Federal Census) and Anna Poggenburg, German immigrants.

Hotelling

Hotelling's lemma: an economic rule relating the supply of a good to the profit of the good's producer

Hüon und Amande

Hüon und Amande (also known as Oberon or Oberon oder König der Elfen) is a romantic Singspiel in five acts by Friederike Sophie Seyler, based on the poem Oberon by Christoph Martin Wieland.

Ingrid Caven

Ludwig: Requiem for a Virgin King (Ludwig – Requiem für einen jungfräulichen König) (1972) - Lola Montez

Johann Gerhard König

In 1778, König was transferred to a post with the British East India Company where he remained until his death, undertaking several scientific journeys and working with notable scientists like William Roxburgh, Johan Christian Fabricius and Sir Joseph Banks.

Johann König

Other works of König are in Paris Louvre, in the Kunsthistorisches Museum in Vienna, the art gallery in Berlin, the Hessian State Museum in Darmstadt, the Staatliche Kunsthalle in Karlsruhe in National Museum of Germanic in Nuremberg and the Ashmolean Museum in Oxford.

Johann Samuel König

Johann Samuel König (July 31, 1712, Büdingen – August 21, 1757, Zuilenstein near Amerongen) was a mathematician.

Jonas Totoraitis

He went on to Freiburg University in Switzerland, where he published his doctoral dissertation on the life of King Mindaugas, Die Litauer unter dem König Mindowe bis zum Jahre 1263, the first such work by a Lithuanian scholar.

Julio Deutsch

He studied at the Vienna University of Technology under Heinrich von Ferstel and Karl König.

Karl Julius Weber

He received his education at Erlangen and Göttingen, and after some time passed in Switzerland, became, in 1792, private secretary to the Count of Erbach-Schönberg, whom he left in 1799 to accept the post of Government councilor at König in Odenwald.

König Ottokars Glück und Ende

König Ottokars Glück und Ende is a tragedy in five acts written by Franz Grillparzer in 1823.

König-class battleship

In his effort to force the Reichstag to pass the bill, Admiral Alfred von Tirpitz threatened to resign from his post as the State Secretary for the Navy.

Ludwig von Henk

In the Franco-Prussian War, he commanded the armored frigate König Wilhelm and after war's end became commander of the North Sea naval station.

Navid

Navíd Akhavan, is an Iranian-German actor best known for his role as Hakan in the German comedy television series König von Kreuzberg

Oka's lemma

In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in Cn, the function –log d(z) is plurisubharmonic, where d is the distance to the boundary.

Princess Birgitta of Sweden

HSH Prince Hubertus of Hohenzollern (b. Munich, Bavaria, Germany 10 June 1966), married to Uta Maria König (b. Trier 25 February 1964).

Quillen's lemma

In contrast to a version of Schur's lemma due to Dixmier, it does not require k to be uncountable.

Robert Radecke

An artist of ability on pianoforte, organ, and violin, Radecke is best known for his compositions, which include two orchestral overtures, König Johann and Am Strande; the operetta Die Mönchguter (1824); and, above all, for his many songs.

Schanuel's lemma

In mathematics, especially in the area of algebra known as module theory, Schanuel's lemma, named after Stephen Schanuel, allows one to compare how far modules depart from being projective.

Scheffé’s lemma

Henry Scheffé published a proof of the statement on convergence of probability densities in 1947.

Shephard's lemma

The lemma is named after Ronald Shephard who gave a proof using the distance formula in his book Theory of Cost and Production Functions (Princeton University Press, 1953).

Valerio Olgiati

VALERIO OLGIATI, edited by Laurent Stalder, Texts by Mario Carpo, Bruno Reichlin and Laurent Stalder, Verlag der Buchhandlung Walther König, Köln 2008 (1st Edition) / Quart Verlag, Luzern 2010 (2nd edition); German: ISBN 978-3-03761-031-2, English: ISBN 978-3-03761-030-5, 192 pages

Will Eisenmann

His opera Der König der dunklen Kammer, based on a work by Rabindranath Tagore, won the Emil Hertzka Prize.

Zorn's Law

Zorn's lemma is a proposition used in many areas of theoretical mathematics.

Zorn's lemma

# Banach's extension theorem which is used to prove one of the most fundamental results in functional analysis, the Hahn–Banach theorem

It occurs in the proofs of several theorems of crucial importance, for instance the Hahn–Banach theorem in functional analysis, the theorem that every vector space has a basis, Tychonoff's theorem in topology stating that every product of compact spaces is compact, and the theorems in abstract algebra that every nonzero ring has a maximal ideal and that every field has an algebraic closure.


see also