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This is a list of algebraic topology topics. Homology (mathematics) ... (algebraic topology) Betti number; Euler characteristic. ... Example: DE-9IM. Homological algebra
The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property .
In algebraic topology, the Betti numbers are used to distinguish ... sequence of non-zero Betti numbers. An example is the infinite ... ISBN 0-387-90894-3. Roe ...
The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. This is a list of topology topics. See also: Topology glossary; List of topologies; List of general topology topics; List of geometric topology topics
A torus, one of the most frequently studied objects in algebraic topology. Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence.
Higher category theory is often applied in algebraic topology ... An example in topology is the composition of paths, ... ISBN 978-0-691-14048-3. ...
Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. ... ISBN 978-1-4471-2157-2 ...
Topology and geometry, Graduate Texts in Mathematics, Springer Verlag 1993, 1996; Davis, Donald. "Table of immersions and embeddings of real projective spaces" Hatcher, Allen (2001). Algebraic Topology. Cambridge University Press. ISBN 978-0-521-79160-1