The quasi Scott (Lawson) topology and q-continuous (q-algebraic) complete lattices

Autor:	A.C. Megaritis, D.N. Georgiou
Rok vydání:	2015
Předmět:	Discrete mathematics High Energy Physics::Lattice General Mathematics Extension topology Lower limit topology Initial topology Topology Combinatorics Comparison of topologies Scott domain Weak topology (polar topology) General topology Particular point topology Mathematics
Zdroj:	Filomat. 29:193-207
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1501193g
Popis:	Let L be a complete lattice. On L we define the so called quasi Scott topology, denoted by qSc. This topology is always larger than or equal to the Scott topology and smaller than or equal to the strong Scott topology. Results concerning the above topology are given. Also, we introduce and investigate the notions of q-continuous and q-algebraic complete lattices. Finally, we give and examine the quasi Lawson topology on a complete lattice. 1. Preliminaries Our reference for complete lattices are (2, 3, 8, 9). We shall frequently denote complete lattices with their underlying sets and write L for (L;D). The top element and the bottom element of a complete lattice L will be denoted by 1L and 0L, respectively.
Databáze:	OpenAIRE
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