拓扑空间范畴

该文在点标拓扑空间范畴中引进了（i，p）-同伦逆和群同伦逆的概念，并讨论了它们存在的条件和性质。

( I , p ) - homotopy inverse and group homotopy inverse are defined in this paper on categories of topological space with base point . Their existence and properties are also presented .

同时研究Higson紧化在粗拓扑空间范畴的函子性质，并用这种函子性质刻画了Higson紧化的逆极限。

It is also proved that Higson compactification is a functor on the category of coarse topological spaces and continuous coarse mappings .

具有分离性的预拓扑空间的范畴性质

Categorical properties of pre-topological spaces with some separations

最后，从范畴角度研究I-fuzzy拓扑。我们构造了一种新的邻域空间&I-fuzzy远域空间，并进一步证明了I-fuzzy远域空间范畴与I-fuzzy拓扑空间范畴同构。

Lastly , we construct the category of I-fuzzy remote neighborhood spaces and its continuous mapping , then prove that it is isomorphic to the category of I-fuzzy topological spaces and I-fuzzy continuous mapping .