On The Sequentially Symmetric Neighborhood Assignments

At the first part of this paper,we use the sequentially symmetric neighborhood assignments to give a new metrization theorem.In the second part,firstly we illustrate that the sequentially symmetric g function are real generalization of symmetric functions g and we prove that sequentially symmetric developable spaces,sequentially symmetric Nagta spaces and sequentially symmetric stratifiable spaces are equivalent.We also use the sequentially symmetric g function to give a characterization of metrization theorem and prove that normal, sequentially symmetric w M,T₁ Spaces are developable,these results extend the corresponding results of literatures.