8. Algebraic Topology
The sixth general mathematical framework is that of algebraic topology, which involves using the concepts and tools of abstract algebra to study topological spaces.
8.1 Betti numbers
Definition (Betti numbers). The k-th Betti number (k-dimensional Betti number) of a subset of A non-empty number is an integer denoted by β k (k = 0,.., n). In two dimensions: β 0 is the number of connected components and β 1 is the number of holes (i.e., cavities). In three dimensions: β...
Exclusive to subscribers. 97% yet to be discovered!
Already subscribed? Log in!
Algebraic Topology
Dimension Theory I: Vector Dimension and Topological Dimension
Article included in this offer
"Mathematics"
(
168 articles
)
Updated and enriched with articles validated by our scientific committees
A set of exclusive tools to complement the resources
Bibliography
Exclusive to subscribers. 97% yet to be discovered!
Already subscribed? Log in!
