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Characterizations and Properties of Stratifiable Spaces

Characterizations and Properties of Stratifiable Spaces

In this paper, we prove some properties and characterizations of stratifiable spaces and the following theorem: Theorem. The following are equivalent: $(Y,\tau)$ is a stratifiable space.There is a zero-dimension submetric stratifiable space $(X, \mu)$ with $M_{3}$-structures and an irreducible perfect map $f:(X,\mu) \to (Y,\tau)$. A stratifiable space $(X,\mu)$ is said …