基于物元可拓性的物元可拓域

Extensive Domain Based on Extension of Matter-element

在实际问题中 ,集合的元素有许多其他特性 ,因而可用物元表示元素 ,将一般可拓集合转化为物元可拓集合 .物元具有可拓性 ,每一种可拓性都可以确定一种变换 .在一定的条件下 ,这种变换可以确定物元可拓集合的可拓域 ,从而为确定一般可拓集合的可拓域提供了依据 .通过研究物元的可拓性与物元可拓集合的可拓域之间的关系 ,得到了两种确定物元可拓域的途径 .

In practice, the elements of a set have many other characters, so they can be expressed by matter-elements and a generic extension set can be transformed a matter-element extension set. Matter-element has extensibility. Every sort of extensibility of matter-element can determine a transformation. The transformation can determine an extension field of matter-element set under given conditions. The extension field provides basis for looking for the extension fields of the generic extension set. By studying the relations of the extensibility of matter-element with the extension field of a matter-element extension set, two ways to determine the extension field are obtained.