The Topological Essence of Olympian Legends: How Continuity Shapes Myth
A. Defining continuity in topological terms reveals how small, iterative changes propagate through stories—much like fixed-point theorems ensure convergence in contraction mappings. In topology, a contraction mapping reduces distances between points within a space, guaranteeing a unique fixed point where sequences stabilize. Similarly, Olympian legends evolve through countless retellings, each preserving core truths while adapting to new cultural contexts. This gradual refinement mirrors the resilience of topological invariants: core identities remain intact even as surface details shift.
B. Mythic structure aligns with narrative contraction: each version of a legend acts as a “neighbor” in a space of meaning,