Homologit
Homologit is a theoretical construct proposed in discussions at the intersection of algebraic topology and applied topology. It is described as a generalized form of homology that incorporates probabilistic or weight-based information into topological invariants, aiming to reflect the stability of features under perturbations and noise.
In its informal conception, homologit assigns to a space X a collection of weighted homology data. For
Conceptually, homologit draws connections to persistent homology and probabilistic topology. It is intended to provide a
As of the current literature, homologit remains a speculative or exploratory concept, appearing in theoretical discussions