摘要

We develop a theory of stratified LM-filters which generalizes the theory of stratified L-filters. Our stratification condition explicitly depends on a suitable mapping between the lattices L and M. If L and M are identical and the mapping is the identity mapping, then we obtain the theory of stratified L-filters. Based on the stratified LM-filters, a general theory of lattice-valued convergence spaces can be developed.

  • 出版日期2013-8