强满层L-收敛空间的一个注记

Note on strong stratified L-convergence spaces

众所周知,强满层L-收敛空间自然是满层L-收敛空间,但反之不成立。给出了满层L-收敛空间成为强满层L-收敛空间的一个充要条件。给出了一种生成满层L-收敛空间的方法,并由此构造了一个从满层L-收敛空间到强满层L-收敛空间的具体的反射。

It is well known that a strong L-stratified convergence space is natural a stratified L-convergence space, but the converse is not true. A sufficient and necessary condition such as a stratified L-convergence space to be a strong stratified L-convergence space is given. An approach to generate strong stratified L-convergence space is presented. Then based on it, a concrete reflection from stratified L-convergence spaces to strong stratified L-convergence spaces is constructed.