Category

Category, plural categories, may refer to:

Philosophy and general uses

Mathematics

Linguistics

Lusternik–Schnirelmann category

In mathematics, the Lyusternik–Schnirelmann category (or, Lusternik–Schnirelmann category, LS-category) of a topological space is the homotopical invariant defined to be the smallest integer number such that there is an open covering of with the property that each inclusion map is nullhomotopic. For example, if is the circle, this takes the value two.

Sometimes a different normalization of the invariant is adopted, which is one less than the definition above Such a normalization has been adopted in the definitive monograph by Cornea, Lupton, Oprea, and Tanré (see below).

In general it is not easy to compute this invariant, which was initially introduced by Lazar Lyusternik and Lev Schnirelmann in connection with variational problems. It has a close connection with algebraic topology, in particular cup-length. In the modern normalization, the cup-length is a lower bound for LS category.

It was, as originally defined for the case of X a manifold, the lower bound for the number of critical points that a real-valued function on X could possess (this should be compared with the result in Morse theory that shows that the sum of the Betti numbers is a lower bound for the number of critical points of a Morse function).

Grammatical category

A grammatical category is a property of items within the grammar of a language; it has a number of possible values (sometimes called grammemes), which are normally mutually exclusive within a given category. Examples of frequently encountered grammatical categories include tense (which may take values such as present, past, etc.), number (with values such as singular, plural, and sometimes dual), and gender (with values such as masculine, feminine and neuter).

Although terminology is not always consistent, a distinction should be made between these grammatical categories (tense, number, etc.) and lexical categories, which are closely synonymous with the traditional parts of speech (noun, verb, adjective, etc.), or more generally syntactic categories. Grammatical categories are also referred to as (grammatical) features.

The name given to a grammatical category (as an uncountable noun) is generally also used (as a countable noun) to denote any of the possible values for that category. For example, the values available in a given language for the category "tense" are called "tenses", the values available for the category "gender" are called "genders", and so on.

Map

A map is a symbolic depiction highlighting relationships between elements of some space, such as objects, regions, and themes.

Many maps are static two-dimensional, geometrically accurate (or approximately accurate) representations of three-dimensional space, while others are dynamic or interactive, even three-dimensional. Although most commonly used to depict geography, maps may represent any space, real or imagined, without regard to context or scale; e.g. brain mapping, DNA mapping and extraterrestrial mapping.

Although the earliest maps known are of the heavens, geographic maps of territory have a very long tradition and exist from ancient times. The word "map" comes from the medieval Latin Mappa mundi, wherein mappa meant napkin or cloth and mundi the world. Thus, "map" became the shortened term referring to a two-dimensional representation of the surface of the world.

Geographic maps

Cartography or map-making is the study and practice of crafting representations of the Earth upon a flat surface (see History of cartography), and one who makes maps is called a cartographer.

Maps (Maroon 5 song)

"Maps" is a song by American band Maroon 5. The song was released on June 16, 2014, as the lead single from their fifth studio album V.

Composition

The song was written by Adam Levine, Ammar Malik, Ryan Tedder, Benny Blanco and Noel Zancanella, and produced by the latter three. Blanco and Malik have previously teamed with Maroon 5 on the songs "Moves like Jagger" and "Payphone", while Tedder and Zancanella have worked with the group on the songs "Love Somebody" and "Lucky Strike". "Maps" is an up-tempo pop track, composed in the key of C# minor (with the main chord progression of A–B–C#m - both in the verses and the chorus - and F#m–G#m-G#7 in the pre-chorus), that contains a "breezy guitar lick". It marks Maroon 5's further departure from the funkier sound for which the band was originally known. The official remix features a new verse from Big Sean and new production beats.

Lyrically, the song is about "the search for love, particularly a love that has been lost and needs to be found". In the chorus, Adam Levine sings "All the roads you took came back to me / So I'm following the map that leads to you."

Get Cape. Wear Cape. Fly

Sam Duckworth is an English musician formerly known as Get Cape. Wear Cape. Fly. He is sometimes referred to as Get Cape, Cape, GCWCF and Slam Dunkworth (the latter title apparently first coined by Emmy The Great). According to Duckworth, his stage name comes from Retro Gamer magazine, from an article about superhero games such as Batman containing the heading "Get Cape. Wear Cape. Fly".

Music career

Sam grew up in Southend-on-Sea, Essex. Get Cape was signed to Atlantic Records in March 2006, after playing many gigs, both with punk rock band Silverskin and as Get Cape. As Get Cape, Duckworth has collaborated with Billy Bragg, Nitin Sawhney, Shlomo, Killa Kela, Baba Maal, Flea, Kate Nash, and many others with his participation in many events for Africa Express.

Sam co-organised The Demolition Ball - the last night at the London Astoria venue before it was knocked down in January 2009. Get Cape also headlined the Astoria for his 21st birthday party.

After 10 years, Sam Duckworth decided to end Get Cape. Wear Cape. Fly, to continue to make music under his own name. The last ever show under the 'Get Cape' moniker was held at The Forum, Kentish Town on 12 September 2014.