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Richard Maunder
Charles Richard Francis Maunder (23 November 1937 – 5 June 2018) was a British mathematician and musicologist. Early life Maunder was educated at the Royal Grammar School, High Wycombe, and Jesus College, Cambridge, before going on to complete a PhD at Christ’s College, Cambridge, in 1962. After teaching at Southampton University he became a fellow of Christ’s in 1964. Mathematics Maunder's field of work was algebraic topology. He used Postnikov systems to give an alternative construction of the Atiyah–Hirzebruch spectral sequence. With this construction, the differentials can be better described. The family of higher cohomology operations on mod-2 cohomology that he constructed has been discussed by several authors. In 1981 he gave a short proof of the Kan-Thurston theorem, according to which for every path-connected topological space X there is a discrete group π such that there is a homology isomorphism of the Eilenberg–MacLane space K(π,1) after X. H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brackets
A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket", respectively, depending on the Writing system#Directionality, directionality of the context. Specific forms of the mark include parentheses (also called "rounded brackets"), square brackets, curly brackets (also called 'braces'), and angle brackets (also called 'chevrons'), as well as various less common pairs of symbols. As well as signifying the overall class of punctuation, the word "bracket" is commonly used to refer to a specific form of bracket, which varies from region to region. In most English-speaking countries, an unqualified word "bracket" refers to the parenthesis (round bracket); in the United States, the square bracket. Glossary of mathematical sym ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Space
In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance. More specifically, a topological space is a set whose elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for each point that satisfy some axioms formalizing the concept of closeness. There are several equivalent definitions of a topology, the most commonly used of which is the definition through open sets, which is easier than the others to manipulate. A topological space is the most general type of a mathematical space that allows for the definition of limits, continuity, and connectedness. Common types of topological spaces include Euclidean spaces, metric spaces and manifolds. Although very general, the concept of topological spaces is fundamental, and used in virtually every branch of modern mathematics. The study of topological spac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Great Mass In C Minor, K
Great may refer to: Descriptions or measurements * Great, a relative measurement in physical space, see Size * Greatness, being divine, majestic, superior, majestic, or transcendent People * List of people known as "the Great" *Artel Great (born 1981), American actor Other uses * ''Great'' (1975 film), a British animated short about Isambard Kingdom Brunel * ''Great'' (2013 film), a German short film * Great (supermarket), a supermarket in Hong Kong * GReAT, Graph Rewriting and Transformation, a Model Transformation Language * Gang Resistance Education and Training Gang Resistance Education And Training, abbreviated G.R.E.A.T., provides a school-based, police officer instructed program that includes classroom instruction and various learning activities. Their intention is to teach the students to avoid gang ..., or GREAT, a school-based and police officer-instructed program * Global Research and Analysis Team (GReAT), a cybersecurity team at Kaspersky Lab *'' Great!'', a 20 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Süddeutsche Zeitung
The ''Süddeutsche Zeitung'' (; ), published in Munich, Bavaria, is one of the largest daily newspapers in Germany. The tone of SZ is mainly described as centre-left, liberal, social-liberal, progressive-liberal, and social-democrat. History On 6 October 1945, five months after the end of World War II in Germany, the ''SZ'' was the first newspaper to receive a license from the US military administration of Bavaria. Thfirst issuewas published the same evening, allegedly printed from the same (repurposed) presses that had printed ''Mein Kampf''. The first article begins with: Declines in ad sales in the early 2000s was so severe that the paper was on the brink of bankruptcy in October 2002. The Süddeutsche survived through a 150 million euro investment by a new shareholder, a regional newspaper chain called Südwestdeutsche Medien. Over a period of three years, the newspaper underwent a reduction in its staff, from 425 to 307, the closing of a regional edition in Düsseldor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academy Of Ancient Music
The Academy of Ancient Music (AAM) is a British period-instrument orchestra based in Cambridge, England. Founded by harpsichordist Christopher Hogwood in 1973, it was named after an 18th-century organisation of the same name (originally the Academy of Vocal Music). The musicians play on either original instruments from the period when the music was composed or modern copies of such instruments. They generally play Baroque and Classical music, though they have also played some new compositions for baroque orchestra in recent years. The AAM's current Music Director is Laurence Cummings, who took over the post from Richard Egarr at the beginning of the 2021-2022 season. Original organisation The original Academy of Vocal Music was founded in London, England in 1725/26 (the Gregorian date of the inaugural meeting was 1 February 1726). Records of the purpose of the academy no longer exist, but according to John Hawkins in 1770, it was intended to "promote the study and practi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christopher Hogwood
Christopher Jarvis Haley Hogwood (10 September 194124 September 2014) was an English conductor, harpsichordist, writer, and musicologist. Founder of the early music ensemble the Academy of Ancient Music, he was an authority on historically informed performance and a leading figure in the early music revival of the late 20th century. Early life and education Born in Nottingham, Hogwood went to The Skinners' School, Royal Tunbridge Wells, and then studied Music and Classics at Pembroke College, Cambridge, graduating in 1964. He went on to study performance and conducting under Raymond Leppard, Mary Potts and Thurston Dart, and later with Rafael Puyana and Gustav Leonhardt. He also studied in Prague with Zuzana Ruzickova for a year, under a British Council scholarship. Career In 1967, Hogwood co-founded the Early Music Consort with David Munrow. In 1973 he founded the Academy of Ancient Music, which specializes in performances of Baroque and Classical music using period instrum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Franz Xaver Süssmayr
Franz Xaver Süssmayr (German: ''Franz Xaver Süßmayr'', or ''Suessmayr'' in English; 1766 – September 17, 1803) was an Austrian composer and conductor. Popular in his day, he is now known primarily as the composer who completed Wolfgang Amadeus Mozart's unfinished Requiem. In addition, there have been performances of Süssmayr's operas at Kremsmünster, and his secular political cantata (1796), ''Der Retter in Gefahr'', SmWV 302, received its first full performance in over 200 years in June 2012 in a new edition by Mark Nabholz, conducted by Terrence Stoneberg. There are also CD recordings of his unfinished clarinet concerto (completed by Michael Freyhan), one of his German requiems, and his Missa Solemnis in D. Works His works include the following: * Two masses (SmWV 101–102) * Two requiems (SmWV 103–104) * Seven offertories (SmWV 112–115, 117–119, 123, 125, 144–145, 156) * A gradual (SmWV 143) * Psalms * A magnificat * Hymns * ''Agonia e morte di Mozart'' (fan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Levin (musicologist)
Robert David Levin (born October 13, 1947) is an American classical pianist, musicologist and composer, and served as the artistic director of the Sarasota Music Festival from 2007 to 2017. Education Born in Brooklyn, Levin attended the Brooklyn Friends School and Andrew Jackson High School, and spent his junior year studying music with Nadia Boulanger in Paris. He attended Harvard, where he earned his Bachelor of Arts ''magna cum laude'' in 1968 with a thesis entitled ''The Unfinished Works of W. A. Mozart''. Levin took private lessons at Chatham Square Music School, Conservatoire National de Musique and the Fontainebleau School of Music in: * piano, with Jan Gorbaty, Louis Martin, Alice Gaultier-Léon, Jean Casadesus, Clifford Curzon and Robert Casadesus * organ, with Nadia Boulanger * solfège, with Seymour Bernstein, Louis Martin and Annette Dieudonné * counterpoint, with Suzanne Bloch and Nadia Boulanger * composition, with Stefan Wolpe * conducting, with Eleaz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Franz Beyer (musicologist)
Franz Beyer (26 February 1922, in Weingarten – 29 June 2018, in Munich) was a German musicologist who is best known for his revising and restoration of Wolfgang Amadeus Mozart's music, in particular his unfinished Requiem, KV 626, which he restored in the early 1970s. In 1962 he became professor for viola and chamber music at the Hochschule für Musik und Theater München. His revision of the Requiem was in keeping with Mozart's actual musical style, not his own interpretation of the work. He has also revised and/or edited works of other composers. He has also played in the Collegium Aureum as a violist, and collaborated with the Melos Quartet as additional violist when performing Mozart's string quintets. Awards * 6 August 2002 Medal of the City of Munich, ''Munich lights - the friends of Munich'' in silver. * 2003 ''Order of Merit, First Class'' awarded. References External links* ttp://dispatch.opac.d-nb.de/DB=2.1/REL?PPN=124883915 "Beyer, Franz; 1922-", Music, ''Deut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Hess (composer)
Ernst Hess (13 May 1912 – 2 November 1968) was a Swiss conductor, composer and musicologist. Career Born in Schaffhausen, Hess studied at the conservatory of Zurich from 1932 and 1934, and then at the Ecole Normale de Musique de Paris, with Paul Dukas and Nadia Boulanger among others. From 1935 he worked in Switzerland as conductor of several choirs and orchestras. In 1938, he was appointed lecturer of music theory at the conservatory of Winterthur. From 1956, he taught musicology at the University of Zurich. As a composer, he wrote mostly sacred and secular choral music, namely the oratorio ''Jeremia''. He was awarded the composition prize of the Conrad-Ferdinand-Meyer-Stiftung in 1947. In 1966 he received the Hans-Georg-Nägeli-Medaille of Zurich. Hess died in Egg. Selected works * Suite for Guitar Solo (1935); Hug G.H. 11468 * Suite for Viola Solo, Op. 14 (1936) * Concerto for Viola, Cello and Chamber Orchestra, Op. 20 * ''Sinfonia academia'' (Kleine Sinfonia), Op. 22 * C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Requiem (Mozart)
The Requiem in D minor, K. 626, is a requiem mass by Wolfgang Amadeus Mozart (1756–1791). Mozart composed part of the Requiem in Vienna in late 1791, but it was unfinished at his death on 5 December the same year. A completed version dated 1792 by Franz Xaver Süssmayr was delivered to Count Franz von Walsegg, who commissioned the piece for a requiem service on 14 February 1792 to commemorate the first anniversary of the death of his wife Anna at the age of 20 on 14 February 1791. The autograph manuscript shows the finished and orchestrated Introit in Mozart's hand, and detailed drafts of the Kyrie and the sequence Dies irae as far as the first eight bars of the Lacrymosa movement, and the Offertory. It cannot be shown to what extent Süssmayr may have depended on now lost "scraps of paper" for the remainder; he later claimed the Sanctus and Benedictus and the Agnus Dei as his own. Walsegg probably intended to pass the Requiem off as his own composition, as he is know ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eilenberg–MacLane Space
In mathematics, specifically algebraic topology, an Eilenberg–MacLane spaceSaunders Mac Lane originally spelt his name "MacLane" (without a space), and co-published the papers establishing the notion of Eilenberg–MacLane spaces under this name. (See e.g. ) In this context it is therefore conventional to write the name without a space. is a topological space with a single nontrivial homotopy group. Let ''G'' be a group and ''n'' a positive integer. A connected topological space ''X'' is called an Eilenberg–MacLane space of type K(G,n), if it has ''n''-th homotopy group \pi_n(X) isomorphic to ''G'' and all other homotopy groups trivial. If n > 1 then ''G'' must be abelian. Such a space exists, is a CW-complex, and is unique up to a weak homotopy equivalence, therefore any such space is often just called K(G,n). The name is derived from Samuel Eilenberg and Saunders Mac Lane, who introduced such spaces in the late 1940s. As such, an Eilenberg–MacLane space is a special k ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
