Degrees of separation properties in stratified L-generalized convergence spaces using residual implication

By Bin Pang. 2017

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By using the residual implication on a frame L, we develop a theory of separation axioms in the category of stratified L-generalized convergence spaces in the spirit of Lowen, i.e., we define for each space some degrees of fulfilling T0, T1, T2 and regularity axioms from a logical aspect. These degrees of separation axioms generalize the theory of separation axioms in the sense of Jäger.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/ab0b7e99afcd7b73c12d62167f0437633b13064f