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).
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An algebraic statement is an algebraic expression or an algebraic equation written in words.
An algebraic expression is a term used in algebra, describing an expression containing one or more numbers, variables, and arithmetic operations. An example sentence would be: They all agreed to algebraic expression seemed impossible.
you can use any letter as long as you know what it means and represents.
There is no official antonym for algebraic expression. The only thing that is the opposite of an algebraic expression is something that is not an algebraic expression.
Fred H. Croom has written: 'Basic concepts of algebraic topology' -- subject(s): Algebraic topology
Hanno Rund has written: 'Lectures on algebraic topology' -- subject(s): Algebraic topology 'The differential geometry of Finsler spaces' -- subject(s): Finsler spaces
Roger Fenn has written: 'Techniques of geometric topology' -- subject(s): Algebraic topology, Low-dimensional topology 'Measure and integration theory'
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
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
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'
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
J. Seade has written: 'On the topology of isolated singularities in analytic spaces' -- subject(s): Algebraic Geometry, Analytic spaces, Singularities (Mathematics), Topology
A star topology.
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)
No, modern LANs use a star topology
Bus Topology