2 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.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…