algebraic topology in a sentence
1) They are used in algebraic number theory and algebraic topology .
algebraic collocations
2) Finally a general version was found in algebraic topology , too.
3) Chain complexes arise in abundance in algebra and algebraic topology .
algebraic topology example sentences
4) Morita equivalence is especially important in algebraic topology and functional analysis.5) In the 1930s, analysis situs became algebraic topology .
6) Algebraic topology and general topology have gone their own ways.
7) For further developments, see point-set topology and algebraic topology .
8) Cobordisms are central objects of study in geometric topology and algebraic topology .
9) This is a fundamental idea, which first surfaced in algebraic topology .
10) Algebraic topology is a source of a number of important global invariant properties.
11) He also developed the theory of braids as a branch of algebraic topology .
12) Modular forms appear in other areas, such as algebraic topology and string theory.
13) As in algebraic topology , there is a dual theory called "group homology".
14) From its very origins, homological algebra has played an enormous role in algebraic topology .
15) This basic fact of algebraic topology finds a natural explanation through certain properties of chain complexes.
example sentences with algebraic topology
16) Algebraic topology uses tools from abstract algebra to study these topological spaces, she says.17) The two common approaches to define solidity rely on point-set topology and algebraic topology respectively.
18) The theory of integral quadratic forms in "n" variables has important applications to algebraic topology .
19) Analyse these topological complexes via algebraic topology - specifically, via the theory of persistent homology.
20) It should not be confused with combinatorial topology which is an older name for algebraic topology .
21) In 1916 Oswald Veblen applied the algebraic topology of Poincaré to Kirchhoff's analysis.
22) Algebraic topology is another domain which prominently associates groups to the objects the theory is interested in.
23) Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
24) They are also of purely mathematical interest in differential geometry, algebraic topology , and K theory.
25) For example, Henri Poincaré founded what is now called algebraic topology by introducing the fundamental group.
26) Massey, William S. (1977) " algebraic topology : An Introduction".
27) The motivating example comes from algebraic topology : the simplicial homology of a simplicial complex "X".
28) For example, algebraic topology makes use of Eilenberg-MacLane spaces which are spaces with prescribed homotopy groups.
How to use algebraic topology in a sentence
29) His construction of new cohomology theories has left consequences for algebraic number theory, algebraic topology , and representation theory.30) Researchers are exploring connections between dependent types (especially the identity type) and algebraic topology (specifically homotopy).
31) A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology .
32) Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible.
33) In algebraic topology , simplices are used as building blocks to construct an interesting class of topological spaces called simplicial complexes.
34) In homological algebra and algebraic topology , a spectral sequence is a means of computing homology groups by taking successive approximations.
35) It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology .
36) After introducing metric and general topological spaces, the emphasis will be on the algebraic topology of manifolds and cell complexes.
37) At this point sheaves had become a mainstream part of mathematics, with use by no means restricted to algebraic topology .
38) Categories were first introduced by Samuel Eilenberg and Saunders Mac Lane in 1942-45, in connection with algebraic topology .
39) Exact couples are particularly common in algebraic topology , where there are many spectral sequences for which no other construction is known.
40) The spread of homology groups marked the change of terminology and viewpoint from "combinatorial topology" to " algebraic topology ".
These examples have been automatically selected and may contain sensitive content that does not reflect the opinions or policies of our website. Please inform us about the inappropriate sentences:nalcakar at gmail.com
This site is designed to teach you English words in context with collocations with the help of example sentences.
You can easily memorize the word and the meaning of algebraic topology
and This is a fast way of learning the meaning of algebraic topology with example sentences.
Always focus on the learning on sentences with algebraic topology
We believe you will easily learn to write and use the word algebraic topology in a sentence.
You can practice spelling and usage of the word by getting 10 examples of sentences with algebraic topology.
20 examples of simple sentences of algebraic topology. We tried to find and publish the the words with Simple Sentences of algebraic topology
Compound Sentences with algebraic topology
Complex Sentences with algebraic topology
Compound-Complex Sentences with algebraic topology