answersLogoWhite

0


Best Answer

Algebraic topology uses algebraic structures (like groups) to characterize and distinguish topological manifolds. So it is useful in any case where manifolds may look very different but in fact be identical. This is often other areas of mathematics or in theoretical physics. A subbranch of algebraic topology which is quite intuitive and which has many clear applications is knot theory. Knot theory is applicable in fields as diverse as string theory (physics) or protein synthesis (Biology).

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the use of algebraic topology?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What has the author Fred H Croom written?

Fred H. Croom has written: 'Basic concepts of algebraic topology' -- subject(s): Algebraic topology


What has the author Hanno Rund written?

Hanno Rund has written: 'Lectures on algebraic topology' -- subject(s): Algebraic topology 'The differential geometry of Finsler spaces' -- subject(s): Finsler spaces


What has the author Roger Fenn written?

Roger Fenn has written: 'Techniques of geometric topology' -- subject(s): Algebraic topology, Low-dimensional topology 'Measure and integration theory'


What has the author Marvin J Greenberg written?

Marvin J. Greenberg has written: 'Euclidean and non-Euclidean geometries' -- subject(s): Geometry, Geometry, Non-Euclidean, History 'Lectures on algebraic topology' -- subject(s): Algebraic topology


What has the author Raoul Bott written?

Raoul Bott has written: 'Lectures on K(X)' -- subject(s): K-theory 'Differential forms in algebraic topology' -- subject(s): Differential forms, Algebraic topology, Differential topology 'A celebration of the mathematical legacy of Raoul Bott' -- subject(s): Geometry, Mathematical physics


What has the author Thorn Bacon written?

Andrew H. Wallace has written: 'Differential Topology' -- subject(s): Differential topology 'Algebraic topology: homology and cohomology' -- subject(s): Algebraic topology 'Differential topology; first steps' -- subject(s): Differential topology 'Algebraic Topology'


What has the author Siegfried Gerlach written?

Siegfried Gerlach has written: 'Application of algebraic topology to graphs and networks' -- subject(s): Algebraic topology 'George B ahr: der Erbauer der Dresdner Frauenkirche; ein Zeitbild' -- subject(s): Architecture, OUR Brockhaus selection


What has the author J Seade written?

J. Seade has written: 'On the topology of isolated singularities in analytic spaces' -- subject(s): Algebraic Geometry, Analytic spaces, Singularities (Mathematics), Topology


Which physical topology does switching use?

A star topology.


What has the author R Benedetti written?

R. Benedetti has written: 'Real algebraic and semi-algebraic sets' -- subject(s): Algebraic Geometry, Geometry, Algebraic, Ordered fields 'Branched standard spines of 3-manifolds' -- subject(s): Three-manifolds (Topology)


Does modern LANs use the bus topology?

No, modern LANs use a star topology


In what network topology that can you use T- connector?

Bus Topology