Extension, extend or extended may refer to:

Mathematics

Logic or set theory Axiom of extensionality Extensible cardinal Extension (model theory) Extension (proof theory) Extension (predicate logic), the set of tuples of values that satisfy the predicate Extension (semantics), the set of things to which a property applies Extension (simplicial set) Extension by definitions Extensional definition, a definition that enumerates every individual a term applies to Extensionality

Other uses Extension of a function, defined on a larger domain Extension of a polyhedron, in geometry Extension of a line segment (finite) into an infinite line (e.g., extended base) Exterior algebra, Grassmann's theory of extension, in geometry Field extension, in Galois theory Group extension, in abstract algebra and homological algebra Homotopy extension property, in topology Kolmogorov extension theorem, in probability theory Linear extension, in order theory Sheaf extension, in algebraic geometry Tietze extension theorem, in topology Whitney extension theorem, in differential geometry

Music Extension (music), notes that fit outside the standard range Extended (Solar Fields album), 2005 Extension (George Braith album), 1964 Extension (Clare Fischer album), 1963 Extensions (Ahmad Jamal album), 1960 Extensions, a 1969 album by Mystic Moods Orchestra Extensions (McCoy Tyner album), 1970 Extensions (Dave Holland album), 1988 Extensions (The Manhattan Transfer album), 1979 Extension (The Extended Mixes), 2023 album reissue by Kylie Minogue

Places Extension, British Columbia, a village near Regional District of Nanaimo, British Columbia, Canada Extension, Louisiana, unincorporated community, United States

Science Extension (geology), relating to the pulling apart of the Earth's crust and lithosphere Extension (anatomy), a movement at a joint that increases the angle between the two ends of the joint; the opposite of flexion Extension locus, the gene locus of Melanocortin 1 receptor

Other uses Agricultural extension service Cooperative State Research, Education, and Extension Service, a former division of the U.S. Department of Agriculture Extension, the building of community capacity by outsiders, for instance agricultural extension Plug-in (computing), a software component that adds a specific feature to an existing computer program Browser extension, a small software module for customizing a web browser Building extension Continuing education, or extension school, a school for continuing education Extension (metaphysics), the property of stretching out or taking up space Extension (telephone), telephone line attached to a main line or to a PBX or Centrex system Extension cord, power cable with a plug on one end and one or more sockets on the other end Eyelash extensions, material applied to eyelashes Hair extensions, strands of hair added to existing hair Filename extension, for computer file systems

See also Extensive (disambiguation)