Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: O. R. Sayed and N. H. Sayed
Pages: [1] - [16]
Received Date: December 11, 2022; Revised March 9, 2023
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122266
The present paper is devoted to study some completeness properties of transitive binary relational set, i.e., a set together with a transitive binary relation (so called t-set). We hope that the results of our paper will be a starting point for a sufficiently general but simple theory of objects that are suitable for modelling various aspects of computation and useful in modern applications of domain theory to general topology and mathematical analysis.
bounded complete poset, bounded complete domain, finitely complete poset, finitarily complete poset, strongly compactly complete domain.
