In topology, a subbase (or subbasis, prebase, prebasis) for the topology τ of a topological space (X, τ) is a subcollection B {\displaystyle B} of τ {\displaystyle...

In highway engineering, subbase is the layer of aggregate material laid on the subgrade, on which the base course layer is located. It may be omitted...

ultrafilter. A filter subbase that is ultra is necessarily a prefilter. A filter subbase is ultra if and only if it is a maximal filter subbase with respect to...

The pavement and subbase thicknesses are designed to withstand the wheel loads. Sometimes, geogrids are used to reinforce the subbase and further strengthen...

course, and subbase course constructed over a compacted, natural soil subgrade. When building a three layer flexible pavement, the subbase layer is not...

It is also called formation level. The subgrade provides support to the subbase level and acts as an integral load-bearing layer. Failure of the subgrade...

open sets Neighbourhood (mathematics) – Open set containing a given point Subbase – Collection of subsets that generate a topology Tubular neighborhood –...

\subseteq } ) filter containing a given filter subbase is said to be generated by the filter subbase. The upward closure in X {\displaystyle X} of a...

can form through the deformation of the asphalt concrete, pavement or subbase material. In modern roads the main cause is heavily loaded trucks. These...

used to define topologies. A weaker notion related to bases is that of a subbase for a topology. Bases for topologies are also closely related to neighborhood...

the direct cause. Frequently, overloading happens because the base or subbase inadequately support the surface layer and subsequently cannot handle loads...

stabilized. If the final pavement is to have vehicle traffic, a layer of subbase of crushed stone or concrete must come next—this layer will even out the...

bases, a smaller (subbase) and a larger (base); an example is Roman numerals, which are organized by fives (V=5, L=50, D=500, the subbase) and tens (X=10...

axiom. If X is Hausdorff and S is a subbase for Y, then the collection {V(K, U) : U ∈ S, K compact} is a subbase for the compact-open topology on C(X...

and filter subbases, all of which appear naturally and repeatedly throughout topology. Examples include neighborhood filters/bases/subbases and uniformities...

which is then laid on the base course, which is normally placed on the subbase, which rests on the subgrade. There are various different types of flexible...

1945 Temporary inactive status, 5 Oct 1945. Subbase of Gowen Army Airfield (Boise), Idaho, 9 Oct 1945 Subbase of Walla Walla Army Airfield, Washington,...

vehicle loads and faster speeds, requiring thicker slabs and deeper subbase. Subbase is the layer or successive layers of stone, gravel and sand supporting...

set U of all finite intersections of T. The set T is said to be a filter subbase when F (and thus U) is proper. Proper filters on sets have the finite intersection...

Pearl Harbor. It was renamed Dover Army Airbase on April 8, 1943; *Dover Subbase on June 6, 1943, and Dover Army Airfield on February 2, 1944. With the...

is a totally ordered set, the order topology on X is generated by the subbase of "open rays" { x ∣ a < x } {\displaystyle \{x\mid a<x\}} { x ∣ x < b...

Set types Amorphous Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset ·...

open ditch or covered drains to reduce moisture content in the pavements subbase and subgrade. Wheeled transport created the need for better roads. Generally...

finite intersection property are also called centered systems and filter subbases. The finite intersection property can be used to reformulate topological...

Set types Amorphous Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset ·...

so that the Sumerian lexical numeral system is sexagesimal with 10 as a subbase. The cardinal numerals and ways of forming composite numbers are as follows:...

especially analysts, use the term weaker topology. Subbase A collection of open sets is a subbase (or subbasis) for a topology if every non-empty proper...

In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological...

{\mathcal {B}}} will be a base for the topology. In general, it will be a subbase for the topology, and the set of all arithmetic progressions that are nonempty...

Set types Amorphous Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset ·...