Cosmic horizons depend on full history, not just current expansion phase

A common rule of thumb holds that decelerated expansion lacks event horizons while accelerated expansion lacks particle horizons — but these are global, non-local properties of spacetime that depend on the entire cosmic history, past and future. Working through bouncing cosmologies where a final phase of standard decelerated expansion is joined through a regular bounce to an early regime of growing curvature, Gasperini constructs explicit scenarios where the usual horizon assignments fail. The results suggest caution when reading horizon properties off local expansion behavior alone, with implications for pre-big-bang and string cosmology models.