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Cahiers De Topologie Et Géométrie Différentielle Catégoriques
The ''Cahiers de Topologie et Géométrie Différentielle Catégoriques'' ('' French'': ''Notebooks of categorical topology and categorical differential geometry'') is a French mathematical scientific journal established by Charles Ehresmann in 1957.. It concentrates on category theory "and its applications, pecially in topology and differential geometry". Its older papers (two years or more after publication) are freely available on the internet through the French NUMDAM service. It was originally published by the Institut Henri Poincaré under the name ''Cahiers de Topologie''; after the first volume, Ehresmann changed the publisher to the Institut Henri Poincaré and later Dunod/Bordas. In the eighth volume he changed the name to ''Cahiers de Topologie et Géométrie Différentielle''.. After Ehresmann's death in 1979 the editorship passed to his wife Andrée Ehresmann Andrée Ehresmann (born Andrée Bastiani; 1935) is a French people, French mathematician specialising in cate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French Language
French ( or ) is a Romance languages, Romance language of the Indo-European languages, Indo-European family. Like all other Romance languages, it descended from the Vulgar Latin of the Roman Empire. French evolved from Northern Old Gallo-Romance, a descendant of the Latin spoken in Northern Gaul. Its closest relatives are the other langues d'oïl—languages historically spoken in northern France and in southern Belgium, which French (Francien language, Francien) largely supplanted. It was also substratum (linguistics), influenced by native Celtic languages of Northern Roman Gaul and by the Germanic languages, Germanic Frankish language of the post-Roman Franks, Frankish invaders. As a result of French and Belgian colonialism from the 16th century onward, it was introduced to new territories in the Americas, Africa, and Asia, and numerous French-based creole languages, most notably Haitian Creole, were established. A French-speaking person or nation may be referred to as Fra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scientific Journal
In academic publishing, a scientific journal is a periodical publication designed to further the progress of science by disseminating new research findings to the scientific community. These journals serve as a platform for researchers, scholars, and scientists to share their latest discoveries, insights, and methodologies across a multitude of scientific disciplines. Unlike professional or trade magazines, the articles are mostly written by scientists rather than staff writers employed by the journal. Scientific journals are characterized by their rigorous peer review process, which aims to ensure the validity, reliability, and quality of the published content. In peer review, submitted articles are reviewed by active scientists (peers) to ensure scientific rigor. With origins dating back to the 17th century, the publication of scientific journals has evolved significantly, advancing scientific knowledge, fostering academic discourse, and facilitating collaboration within ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles Ehresmann
Charles Ehresmann (19 April 1905 – 22 September 1979) was a German-born French mathematician who worked in differential topology and category theory. He was an early member of the Bourbaki group, and is known for his work on the differential geometry of smooth fiber bundles, notably the introduction of the concepts of Ehresmann connection and of jet bundles, and for his seminar on category theory. Life Ehresmann was born in Strasbourg (at the time part of the German Empire) to an Alsatian-speaking family; his father was a gardener. After World War I, Alsace returned part of France and Ehresmann was taught in French at Lycée Kléber. Between 1924 and 1927 he studied at the École Normale Supérieure (ENS) in Paris and obtained agrégation in mathematics. After one year of military service, in 1928-29 he taught at a French school in Rabat, Morocco. He studied further at the University of Göttingen during the years 1930–31, and at Princeton University in 1932–34. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Category Theory
Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory is used in most areas of mathematics. In particular, many constructions of new mathematical objects from previous ones that appear similarly in several contexts are conveniently expressed and unified in terms of categories. Examples include quotient space (other), quotient spaces, direct products, completion, and duality (mathematics), duality. Many areas of computer science also rely on category theory, such as functional programming and Semantics (computer science), semantics. A category (mathematics), category is formed by two sorts of mathematical object, objects: the object (category theory), objects of the category, and the morphisms, which relate two objects called the ''source'' and the ''target'' of the morphism. Metapho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topology
Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such as Stretch factor, stretching, Torsion (mechanics), twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a Set (mathematics), set endowed with a structure, called a ''Topology (structure), topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of List of continuity-related mathematical topics, continuity. Euclidean spaces, and, more generally, metric spaces are examples of topological spaces, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and Homotopy, homotopies. A property that is invariant under such deformations is a to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry
Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as classical antiquity, antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Nikolai Lobachevsky, Lobachevsky. The simplest examples of smooth spaces are the Differential geometry of curves, plane and space curves and Differential geometry of surfaces, surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institut Henri Poincaré
The Henri Poincaré Institute (or IHP for ''Institut Henri Poincaré'') is a mathematics research institute part of Sorbonne University, in association with the Centre national de la recherche scientifique (CNRS). It is located in the 5th arrondissement of Paris, 5th arrondissement of Paris, on the Sainte-Geneviève Hill. History Just after World War I, mathematicians Émile Borel in France and George Birkhoff in the United States persuaded French and American sponsors (Edmond de Rothschild and the Rockefeller Foundation respectively)Rockefeller and the internationalization of mathematics between two World Wars [Texte imprimé][: documents and studies for the social history of mathematics in the 20th century / Reinhard Siegmund-Schultze. - Basel; Boston; Berlin : Birkhäuser, cop. 2001. - 1 vol. (XIII-341 p.) : fig., ill., carte; 24 cm. - (Science networks historical studies; volume 25). - Bibliogr. p. [307]-318. Index. (rel.). - (rel.)] to fund the building of a centre for lect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrée Ehresmann
Andrée Ehresmann (born Andrée Bastiani; 1935) is a French people, French mathematician specialising in category theory. Education and career Ehresmann was a researcher at Centre national de la recherche scientifique, CNRS from 1957 to 1963. She was awarded a Ph.D. in 1962 at University of Paris under the supervision of Gustave Choquet. Her thesis was entitled ''Différentiabilité dans les espaces localement convexes. Distructures'' [Differentiability in locally convex spaces. Distructures]. In 1967 she became a professor at IRCAM, at the University of Picardie Jules Verne, where she is currently emeritus professor. Research Ehresmann has published over a hundred works on Analysis (Differential Calculus and Infinite-dimensional Distributions, Guiding Systems and Optimization Problems), Category Theory (with her husband, Charles Ehresmann: sketches and internal categories, multiple categories, closed monoidal structures) and the modeling of complex autonomous systems (Memory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topology Journals
Topology (from the Greek words , and ) is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set endowed with a structure, called a ''topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and, more generally, metric spaces are examples of topological spaces, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopies. A property that is invariant under such deformations is a topological property. The following are basic examples of topological properties: the dimension, which allows distinguishing between a line and a surface; compactness, which allows distinguishing between a line a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Journals Established In 1957
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and Skills, skill, north of Ancient Athens, Athens, Greece. The Royal Spanish Academy defines academy as scientific, literary or artistic society established with public authority and as a teaching establishment, public or private, of a professional, artistic, technical or simply practical nature. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the Gymnasium (ancient Greece), gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive Grove (nature), grove, hence the expression "the groves of Academe". In these gardens, the philos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quarterly Journals
A magazine is a periodical publication, print or digital, produced on a regular schedule, that contains any of a variety of subject-oriented textual and visual content forms. Magazines are generally financed by advertising, purchase price, prepaid subscriptions, or by a combination of the three. They are categorised by their frequency of publication (i.e., as weeklies, monthlies, quarterlies, etc.), their target audiences (e.g., women's and trade magazines), their subjects of focus (e.g., popular science and religious), and their tones or approach (e.g., works of satire or humor). Appearance on the cover of print magazines has historically been understood to convey a place of honor or distinction to an individual or event. Term origin and definition Origin The etymology of the word "magazine" suggests derivation from the Arabic (), the broken plural of () meaning "depot, storehouse" (originally military storehouse); that comes to English via Middle French and Italian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
