3 citations · 5 across the 5 of their papers we have counts for
5 papers
L-homology on ball complexes and products
Spiros Adams-Florou, Tibor Macko
We construct homology theories with coefficients in L-spectra on the category of ball complexes and we define products in this setting. We also obtain signatures of geometric situa…
Algebraic subdivision in simplicially controlled categories
Spiros Adams-Florou
We generalise the notion of subdivision of a finite-dimensional locally finite simplicial complex to geometric algebra, namely to the simplicially controlled categories $\mathb…
A controlled local-global theorem for simplicial complexes
Spiros Adams-Florou
In this paper we prove that a simplicial map of finite-dimensional locally finite simplicial complexes has contractible point inverses if and only if it is an -controlled homoto…
Triangular homotopy equivalences
Spiros Adams-Florou
A map to a simplicial complex is called a -triangular homotopy equivalence if it has a homotopy inverse and homotopies , $h_…
Homeomorphisms, homotopy equivalences and chain complexes
Spiros Adams-Florou
This thesis concerns the relationship between bounded and controlled topology and how these can be used to recognise which homotopy equivalences of reasonable topological spaces ar…