A Structure Theorem for Topological Lattices
نویسندگان
چکیده
منابع مشابه
Topological Residuated Lattices
In this paper, we study the separtion axioms $T_0,T_1,T_2$ and $T_{5/2}$ on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number $alpha$, there exists at least one nontrivial Hausdorff topological residuated lattice of cardinality $alpha$. In the follows, we obtain some ...
متن کاملOn generalized topological molecular lattices
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and defi...
متن کاملA stronger structure theorem for excluded topological minors
Grohe and Marx [4] proved that if G does not contain H as a topological minor, then there exist constants g = O(|V (H)|4), D and t depending only on H such that G is a clique sum of graphs that either contain at most t vertices of degree greater than D or almost embed in some surface of genus at most g. We strengthen this result, giving a more precise description of the latter kind of basic gra...
متن کاملA Representation Theorem for Stratified Complete Lattices
We consider complete lattices equipped with preorderings indexed by the ordinals less than a given (limit) ordinal subject to certain axioms. These structures, called stratified complete lattices, and weakly monotone functions over them, provide a framework for solving fixed point equations involving non-monotone operations such as negation or complement, and have been used to give semantics to...
متن کاملCantor-bernstein Theorem for Lattices
This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Glasgow Mathematical Association
سال: 1961
ISSN: 2040-6185,2051-2104
DOI: 10.1017/s2040618500034213