Results 31 to 40 of about 8,626 (300)

On separation of lattices

International Journal of Mathematics and Mathematical Sciences, 1991
Separation properties of a lattice of subsets of an arbitrary set or separation properties between a pair of such lattices have strong implications on the associated lattice regular measures and conversely. A number of such relationships are investigated
Mabel Szeto
doaj   +1 more source

The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices

Open Mathematics, 2020
In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
doaj   +1 more source

The lattice of closed congruences on a topological lattice [PDF]

Transactions of the American Mathematical Society, 1981
Our primary objectives are: (1) if L L is a lattice endowed with a topology making both the meet and join continuous then ...
openaire   +1 more source

Intrinsic topologies in topological lattices and semilattices [PDF]

Pacific Journal of Mathematics, 1973
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Compactly Generated Domain Theory

, 2006
We propose compactly generated monotone convergence spaces as a well-behaved topological generalisation of directed-complete partial orders (dcpos). The category of such spaces enjoys the usual properties of categories of 'predomains' in denotational ...
Battenfeld, Ingo, Simpson, Alexander, Schröder, Matthias   +2 more
core   +1 more source

Thermal control of the topological edge flow in nonlinear photonic lattices

Nature Communications, 2022
The nonlinear evolution dynamics in topological photonic lattices is systematically investigated within the framework of optical thermodynamics. This approach allows for the precise prediction of topological currents even under the extreme complexity ...
Pawel S. Jung, Georgios G. Pyrialakos, Fan O. Wu, Midya Parto, Mercedeh Khajavikhan, Wieslaw Krolikowski, Demetrios N. Christodoulides   +6 more
doaj   +1 more source

Topological Aspects of the Product of Lattices [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
Let X be an arbitrary nonempty set and L a lattice of subsets of X such that ∅, X ∈ L. A(L) denotes the algebra generated by L, and M(L) denotes those nonnegative, finite, finitely additive measures on A(L). In addition, I(L) denotes the subset of M(L) which consists of the nontrivial zero‐one valued measures.
openaire   +3 more sources

A Convenient Category of Domains [PDF]

, 2007
topological spaces, generalising the usual ω-continuous dcppos of domain theory. Our category supports all the standard constructions of domain theory, including the solution of recursive domain equations.
Ingo Battenfeld, Matthias Schröder, Battenfeld, Ingo, Simpson, Alexander, Simpson, Alex, Alex Simpson, Schröder, Matthias   +6 more
core   +1 more source

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source

Topological phenomena demonstrated in photorefractive photonic lattices [Invited]

, 2021
Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications.
Tang, Liqin, Wang, Nan, Chen, Zhigang, Buljan, Hrvoje, Ma, Jina, Xia, Shiqi, Song, Daohong, Liu, Xiuying   +7 more
core   +1 more source