Abian's axiom

Abian’s axiom is a principle in mathematics that states if a certain property holds true for a set of elements and is maintained when you add more elements, then this property will continue to hold as the set expands infinitely. In essence, it ensures stability: once a property is established in a finite context, it can be extended consistently to infinite cases, helping mathematicians work with infinite structures with confidence. This axiom is important in areas like analysis and topology, where understanding infinite processes and spaces is crucial.