Abstract: With the help of the ideas and methods of topological system, H-spatialization of Heyting system has been investigated again. The concept of H-homeomorphism of Heyting system is proposed, it is proved that the inverse and composite of H-homeomorphisms are also H-homeomorphisms. The adjoint functor between the category of H-spatial Heyting system and the category of Heyting system is established. The equivalent descriptions of H-spatial Heyting system are given.

Key words: topological system, Heyting system, H-homeomorphism, adjoint functor

摘要： 借助于拓扑系统的思想和方法，对Heyting系统的H-空间化进行了再研究。引入Heyting系统的H-同胚的概念，证明了H-同胚的逆和复合还是H-同胚。在可H-空间化的Heyting系统范畴与Heyting系统范畴之间建立了伴随函子。给出了Heyting系统是可H-空间化的等价刻画。

关键词: 拓扑系统, Heyting系统, H-同胚, 伴随函子