Sentence examples for stone spaces from inspiring English sources
His next major contribution was to establish a correspondence between Boolean algebras and certain topological spaces now called Boolean spaces (or Stone spaces).
In other words, there is an equivalence of categories between the category of Boolean algebras and the dual of the category of Boolean spaces (also called Stone spaces).
Another central topic is duality: Boolean algebras are dual to Stone spaces, complete atomic Boolean algebras are dual to sets, distributive lattices with top and bottom are dual to partially ordered sets, algebraic lattices are dual to semilattices, and so on.
He calls the proof "an instructive exercise in elementary point-set topology"; it involves viewing sets of positional values as Stone spaces and noticing that their real representations are given by continuous functions.
The players sat in a loose circle in the intimate Stone space.
The odds are certainly in their favor at the Fulton, a new gastropub in a former Blarney Stone space, which draws a steady stream of finance guys fresh out of the office, who talk shop over cold beers and beefy sliders.
* DON BYRON: "CONTRASTING BRILLIANCE, THE MUSIC OF HENRY MANCINI AND SLY STONE," Symphony Space, 2537 Broadway, at 95th Street, (212) 864-5400.
To determine soil chemical characteristics in relation to the stone line spacing patterns studied, soil samples were taken from subplots at regular and fixed distances from the lines at the start of the trial and then 5 years later.
It is observed from parametric studies that modular ratio or stiffness of the stone columns, spacing to diameter ratio, height of the embankment, depth of the soft soil, stiffness of the geosynthetic reinforcement significantly affect the behavior of geosynthetic-reinforced stone column-supported embankments resting on soft soil.
It was headed: "Nuclear 'a stepping stone' to space exploration".
"Yosemite Valley, to me, is always a sunrise, a glitter of green and golden wonder in a vast edifice of stone and space," photographer Ansel Adams once wrote.
