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A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, canonical form, or canonical ordering). The same term can also be used more informally to refer to something "standard" or "classic".
Topology developed from geometry; it looks at those properties that do not change even when the figures are deformed by stretching and bending, like dimension. Glossary of differential geometry and topology; Glossary of general topology; Glossary of Riemannian and metric geometry; Glossary of scheme theory; List of algebraic geometry topics
Historically, upper-case letters were used for representing points in geometry, and lower-case letters were used for variables and constants. Letters are used for representing many other sorts of mathematical objects. As the number of these sorts has remarkably increased in modern mathematics, the Greek alphabet and some Hebrew letters are also ...
Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...
Absolute geometry is a geometry based on an axiom system consisting of all the axioms giving Euclidean geometry except for the parallel postulate or any of its alternatives. [69] The term was introduced by János Bolyai in 1832. [70] It is sometimes referred to as neutral geometry, [71] as it is neutral with respect to the parallel postulate.
From the preface to I.R. Shafarevich, Basic Algebraic Geometry. algebraic geometry Algebraic geometry is a branch of mathematics that studies solutions to algebraic equations. algebraic geometry over the field with one element One goal is to prove the Riemann hypothesis. See also the field with one element and Peña, Javier López; Lorscheid, Oliver (2009-08-31). "Mapping F_1-land:An overview ...
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