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On the Sequentially Symmetric Neighborhood Assignments

Author: GuoLiangYu
Tutor: ZuoZiQiu
School: Suzhou University
Course: Basic mathematics
Keywords: Assigned neighborhood Symmetric Sequentially symmetric Metrizable Developable
CLC: O189.1
Type: Master's thesis
Year: 2009
Downloads: 8
Quote: 0
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Abstract


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.

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Topology ( the situation in geometry ) > General topology
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