Definition of FilterSubbases. Meaning of FilterSubbases. Synonyms of FilterSubbases

- from context. Filters ( X ) = DualIdeals ( X ) ∖ { ℘ ( X ) } ⊆ Prefilters ( X ) ⊆ FilterSubbases ( X ) . {\displaystyle {\textrm {Filters}}(X)\quad =\quad...
- filters/bases/subbases and uniformities. Every filter is a prefilter and both are filter subbases. Every prefilter and filter subbase is contained in...
- 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 property...
- ⊆ {\displaystyle \subseteq } ) filter containing a given filter subbase is said to be generated by the filter subbase. The upward closure in X {\displaystyle...
- finite intersection property are also called centered systems and filter subbases. The finite intersection property can be used to reformulate topological...
- neighbourhood system, complete system of neighbourhoods, or neighbourhood filter N ( x ) {\displaystyle {\mathcal {N}}(x)} for a point x {\displaystyle x}...
- {\displaystyle U} -small. For any given filter subbase B {\displaystyle {\mathcal {B}}} of the identity element's neighborhood filter N {\displaystyle {\mathcal {N}}}...
- Never Never ∅ ∉ F {\displaystyle \varnothing \not \in {\mathcal {F}}} Filter subbase Never Never ∅ ∉ F {\displaystyle \varnothing \not \in {\mathcal {F}}}...
- (X),} FilterSubbases ⁡ ( X ) , {\displaystyle \operatorname {FilterSubbases} (X),} UltraFilters ⁡ ( X ) {\displaystyle \operatorname {UltraFilters} (X)}...
- which in a filtered probability space describes the information up to the random time τ {\displaystyle \tau } in the sense that, if the filtered probability...