- Residual topology
Residual topology [ Residual Topological Isomerism of Intertwined Molecules; O. Lukin, A. Godt, F. Vögtle "Chem. Eur. J." 2004; vol. 10: 1878-1883 DOI|10.1002/chem.200305203] is a descriptive
stereochemical term to classify a number of intertwined and interlocked molecules, which cannot be disentangled in an experiment without breaking ofcovalent bond s, while the strict rules of mathematical topology allow such a disentanglement. Examples of such molecules arerotaxane s, catenanes with covalently linked rings (so-calledpretzelane s), and open knots (pseudoknots) which are abundant inprotein s.The term "residual topology" was suggested on account of a striking similarity of these compounds to the well-established topologically nontrivial species, such as catenanes and knotanes (molecular knots). The idea of residual topological isomerism introduces a handy scheme of modifying the
molecular graph s and generalizes former efforts of systemization of mechanically bound and bridged molecules.References
Wikimedia Foundation. 2010.
Look at other dictionaries:
Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia
List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… … Wikipedia
Generic property — In mathematics, properties that hold for typical examples are called generic properties. For instance, a generic property of a class of functions is one that is true of almost all of those functions, as in the statements, A generic polynomial… … Wikipedia
combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… … Universalium
Nicolae Popescu — Nicolae Popescu, Ph.D., D.Phil. Born 22 September 1937(1937 09 22) Strehaia, Romania Died 29 July 2010(201 … Wikipedia
Whitney topologies — In mathematics, and especially differential topology, functional analysis and singularity theory, the Whitney topologies are a countably infinite family of topologies defined on the set of smooth mappings between two smooth manifolds. They are… … Wikipedia
Profinite group — In mathematics, profinite groups are topological groups that are in a certain sense assembled from finite groups; they share many properties with their finite quotients. Definition Formally, a profinite group is a Hausdorff, compact, and totally… … Wikipedia
List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra … Wikipedia
List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… … Wikipedia
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia