Topological property
Alternatively, a topological property is a proper class of topological spaces which is closed under homeomorphisms.Informally, a topological property is a property of the space that can be expressed using open sets.A common problem in topology is to decide whether two topological spaces are homeomorphic or not.To prove that two spaces are not homeomorphic, it is sufficient to find a topological property which is not shared by them.is: Some of these terms are defined differently in older mathematical literature; see history of the separation axioms.For example, the metric space properties of boundedness and completeness are not topological properties.[2] Simon Moulieras, Maciej Lewenstein and Graciana Puentes, Entanglement engineering and topological protection by discrete-time quantum walks, Journal of Physics B: Atomic, Molecular and Optical Physics 46 (10), 104005 (2013).