Simple homotopy types and finite spaces
By Jonathan Ariel Barmak, E. Minian. 2006
67 citations recorded by the source corpus.
Whitehead’s theory of simple homotopy types is inspired by Tietze’s theorem in combinatorial group theory, which states that any finite presentation of a group could be deformed into any other by a finite sequence of elementary moves, which are now called Tietze transformations. Whitehead translated these algebraic moves into the well-known geometric moves of elementary collapses and expansions of finite simplicial complexes.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/42e74aee1c9cd2551b691a9efd93ed2e8c884260
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Algebraic Topology of Finite Topological Spaces and Applications (2011, result): “This construction was first studied in [8].”