Finite Dimensional SpacesExplores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Local Homeomorphisms and CoveringsCovers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Attack on RSA using LLLCovers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Polynomial Identity TestingCovers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.