topological in English

adjective

pertaining to nonquantitative geometry (Mathematics)

Use "topological" in a sentence

1. A topological group is a mathematical object with both an algebraic structure and a topological structure.

2. I think of Compactness as topological finiteness

3. Well, it's actually topological quantum order.

4. Compactness 1 Motivation While metrizability is the analyst’s favourite topological property, Compactness is surely the topologist’s favourite topological property

5. Algebraic structures such as groups to topological spaces

6. The Situs Autorouter is a Topological Autorouter

7. We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.

8. Topological Glycopolymers as Agglutinator and Inhibitor: Cyclic versus Linear

9. Topological Glycopolymers as Agglutinator and Inhibitor: Cyclic versus Linear

10. A well known topological condition on D-Branes is

11. 312-574 Phone Numbers 2394768684 Albumean Topological mirror symmetry

12. Topological groups, together with their homomorphisms, form a category.

13. Topological spaces with the Compactness property are called compact spaces.

14. The Sierpiński space is the simplest non-discrete topological space.

15. These topological relationships allow complex spatial modelling and analysis to be performed.

16. In this video, we look at a topological property called Compactness

17. Topological Glycopolymers as Agglutinator and Inhibitor: Cyclic versus Linear Macromol Rapid Commun

18. this algorithm does a topological sort of an oriented and acyclic graph.

19. Every real or complex affine or projective space is also a topological space.

20. As a post-doctoral fellow, he also worked on P-Commutative Topological Algebras.

21. Buck worked on approximation theory, complex analysis, topological algebra, and operations research.

22. Homological Connectivity, a property related to the homology groups of a topological space.

23. Piers Bohl, a Latvian mathematician, applied topological methods to the study of differential equations.

24. Many large abelian groups possess a natural topology, which turns them into topological groups.

25. This equivalence provides a precise mathematical formulation of mirror symmetry in topological string theory.

26. Compactness can be thought of a generalization of these properties to more abstract topological spaces

27. In essence, it is a connection between the algebraic and topological sides of operator theory.

28. In physics, these equations express associativity constraints of certain algebras related to topological field theories.

29. In geometry, Chamfering or edge-truncation is a topological operator that modifies one polyhedron into another

30. The topological and analytical indices are both reinterpreted as functions from this ring to the integers.

31. This method, pharmacophore-similarity-based QSAR (PS-QSAR) uses topological pharmacophoric descriptors to develop QSAR models.

32. Its algebraic structure and topology make it into a Lie group, a type of topological group.

33. The stiffness of a griddle body was enhanced using dynamic topological optimization under multiple frequencies constraints.

34. Duality principle is a powerful tool for the analysis of topological structure of power electronic circuits.

35. The Attaching construction is an example of a pushout in the category of topological spaces

36. The invention discloses a multi - autonomous system router level topological treatment system and a method.

37. A topological space is said to be locally Contractible if it satisfies the following equivalent conditions:

38. One of its results, that not every topological algebra is localizable, has become a "well-known counterexample".

39. In one embodiment the 3D renderer creates a physical three dimensional (3D) topological surface from captured images.

40. This paper provides some theorems of the alternative for non-linear functions (sublinearconvex) between topological vector spaces.

41. In other words both structures, the algebraic and the topological one, are linked in a natural way.

42. 15 Based on the adjacency matrix network graph, the theoretical proof of the topological arithmetic is given.

43. Her work endeavours to understand the structure of geometric objects by investigation of their algebraic and topological properties.

44. 22 The topological index has good selectivity,(www.Sentencedict.com) and appears solivity for 149 alkanes from ethane to decane.

45. An example of a non-abelian, pre-abelian category is, once again, the category of topological abelian groups.

46. Therefore a mesh has four basic characteristics: geometrical property, topological structure, physical property and time - varying property.

47. In order to turn a topological space into a measurable space one endows it with a σ-algebra.

48. This book describes a Bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory

49. We have Axioms of a topological space, and Axioms for a category and Axioms of groups, semigroups and cohomologies

50. A topological Autorouter uses a different method of mapping the routing space - one that is not geometrically constrained