远域分子格

R—Neighorhood Molecular Lattice

本文直接从理想出发建立了分子格上的远域结构;然后在远域结构下引入了外点,闭元,点式余拓扑结构等;进而以理想基为工具讨论了点式余拓扑的确定,远域结构的比较,远域结构下理想基的收敛,远域结构下广义序同态的连续性及其理想基刻划,以及远域结构的逆象等问题.

In this paper,the R—neighborhood structure is established on the molecu-lar lattice beginning with the ideal,then the conceptions such as the exteriorpoint,closed element and pointwise cotopology structure are taken in under theR—neighborhood structure.And then used the ideal base for tool,the followingproblems are discussed:the determination of pointwise cotopologies,the compa-rison of the R—neighborhood structures,the convergence of the ideal baseunder the R—neighborhood structure,the continuity of GOH and its characte-rization of the ideal base under the R—neighborhood structure,and the inve-rse image of the R—neighborhood structure etc.