3 papers
math.AG2024
Effective Bounds on Topological Types of Real Algebraic and Semialgebraic Sets
Kartoue Mady Demdah, Ibrahim Nonkane
In this paper, we revisit the problem of classifying real algebraic and semialgebraic sets by their topological types, focusing on establishing the effectiveness of bounds rather t…
math.AG2014
Simultaneous resolution of singularities in the Nash category: finiteness and effectiveness
Kartoue Mady Demdah
In this paper we present new proofs using real spectra of the finiteness theorem on Nash trivial simultaneous resolution and the finiteness theorem on Blow-Nash triviality for isol…
math.GT2009
h-cobordism and s-cobordism Theorems: Transfer over Semialgebraic and Nash categories, Uniform bound and Effectiveeness
Kartoue Mady Demdah
The h-cobordism theorem is a noted theorem in differential and PL topology. A generalization of the h-cobordism theorem for possibly non simply connected manifolds is the so called…