统一视线到一个代数运算和收敛性
United sight to an algebraic operations and convergence
摘要:
代数运算被理解为代数的拓扑化。它们成为最简单收敛空间的一个例子。在我们的文章中,收敛是一个任意的多值任命。定义了两个收敛空间之间映射的连续性作为交换平方的一个性质。粘附空间被定义为一种特殊的收敛。这种空间中的连续性被理解为局部性质,与拓扑空间中的整体连续性相反。在拓扑空间中也引入了可能的有界映射,没有更深入的研究。定义拓扑空间的局部对应空间为邻近空间。连续性的新概念对于函数映射也是非常重要的,因此它们在英语中有了自己的名字。
英文摘要:
Algebraic operations are understood as topologiztion of algebra. They become an example of simplest convergence space. In our article the convergence is a arbitrary multivalued appointment. The continuity of some mapping between two convergence spaces is defined as a property of commuting squares. The adherence space is defined as a special convergence. The continuity in such spaces is understood as a local property, in contrary to the global continuity property in topological spaces. Possible bounded mappings in bornological spaces is also introduced, without deeper investigation. The local counterpart of bornological space is defined as proximity space. The new notions of continuity are non trivially also for a functional mappings, therefore they got their own names in English.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。