关于广义拓扑空间
On generalized topological spaces
摘要:
本文系统地研究了广义拓扑空间范畴GTS(在H. Delfs和M. Knebusch)和它们的严格连续映射开始。得到了一些完备性和余完备性的结果。广义拓扑空间有助于在弱拓扑结构的广泛背景下重建局部可定义空间和弱可定义空间理论的重要元素。
英文摘要:
In this paper a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings begins. Some completeness and cocompleteness results are achieved. Generalized topological spaces help to reconstruct the important elements of the theory of locally definable and weakly definable spaces in the wide context of weakly topological structures.
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