Cech homology

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• Čech cohomology — In mathematics, specifically algebraic topology, Čech cohomology is a cohomology theory based on the intersection properties of open covers of a topological space. It is named for the mathematician Eduard Čech. Contents 1 Motivation 2… …   Wikipedia

• Eduard Čech — (pronounced|ˈʧɛx) (June 29, 1893 – March 15, 1960) was a Czech mathematician born in Stračov, Bohemia (then Austria Hungary now Czech Republic).His research interests included projective differential geometry and topology.In 1921–1922 he… …   Wikipedia

• Cohomology — In mathematics, specifically in algebraic topology, cohomology is a general term for a sequence of abelian groups defined from a co chain complex. That is, cohomology is defined as the abstract study of cochains, cocycles, and coboundaries.… …   Wikipedia

• Solenoid (mathematics) — This page discusses a class of topological groups. For the wrapped loop of wire, see Solenoid. The Smale Williams solenoid. In mathematics, a solenoid is a compact connected topological space (i.e. a continuum) that may be obtained as the inverse …   Wikipedia

• List of eponyms — An eponym is a person (real or fictitious) from whom something is said to take its name. The word is back formed from eponymous , from the Greek eponymos meaning giving name . NOTOC Here is a list of eponyms:A B C D E F G H I–J K L–ZA* Achilles,… …   Wikipedia

• Mayer–Vietoris sequence — In mathematics, particularly algebraic topology and homology theory, the Mayer–Vietoris sequence is an algebraic tool to help compute algebraic invariants of topological spaces, known as their homology and cohomology groups. The result is due to… …   Wikipedia

• Homotopy groups of spheres — In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in algebraic terms, the structure… …   Wikipedia

• Vietoris–Rips complex — In topology, the Vietoris–Rips complex, also called the Vietoris complex or Rips complex, is an abstract simplicial complex that can be defined from any metric space M and distance delta; by forming a simplex for every finite set of points that… …   Wikipedia

• Sheaf cohomology — In mathematics, sheaf cohomology is the aspect of sheaf theory, concerned with sheaves of abelian groups, that applies homological algebra to make possible effective calculation of the global sections of a sheaf F. This is the main step, in… …   Wikipedia

• List of cohomology theories — This is a list of some of the ordinary and generalized (or extraordinary) homology and cohomology theories in algebraic topology that are defined on the categories of CW complexes or spectra. For other sorts of homology theories see the links at… …   Wikipedia

• List of important publications in mathematics — One of the oldest surviving fragments of Euclid s Elements, found at Oxyrhynchus and dated to circa AD 100. The diagram accompanies Book II, Proposition 5.[1] This is a list of important publications in mathematics, organized by field. Some… …   Wikipedia