A NOTE ON STRATIFIED LM-FILTERS

author

  • Gunther Jager Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa
Abstract:

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.

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Journal title

volume 10  issue 4

pages  135- 142

publication date 2013-08-30

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