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On Some Questions of Hypercontinuous Lattices and the Biscott Topologies

Author: MaZuoZuo
Tutor: XuXiaoQuan
School: Jiangxi Normal University
Course: Applied Mathematics
Keywords: Super Lattices Supercontinuum domain Dual Scott topology Compactness Base Feature
CLC: O153.1
Type: Master's thesis
Year: 2008
Downloads: 31
Quote: 0
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Abstract


Defined on a complete lattice superclose get a categorical properties of ultra- continuous lattices , proved a complete lattice L is super - continuous lattice if and only if the relations \, x ≠ y ( ? ) i ( x ) = i ( y ) . The introduction of continuous domain base B ( L ) , the right to W ( L ) and the concept of characteristic x ( L ) gives the equivalent characterizations , supercontinuum domain rights , characteristics and ultra - continuous domain to bring v a topological space right W ( L , v ( L ) ( L ) topology ) , the relationship between the the topological spatial characteristics of x ( L , v ( L ) ) discussed attained the ultra- continuous domain , W ( L , V ( L ) ) ≤ W ( L ) x ( L ) ≤ W ( L ) x ( L ) = x ( L , v ( L ) ) . Topology to be super - continuous domain to be ultra- the continuous domain become the contemplated a condition superalgebra domain , proved that the proposed super- continuous domain ( L , v ( L ) ) Bureau compact space . The complete posets dual directional defines the dual Scott topology , dual Scott topology tight portrayed .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Collection of partial order and lattice theory
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