- First, set H0 = F0 and let G0 be a
maximal disjoint subcollection of H0 (such a
subcollection exists by Zorn's lemma). ****uming that G0,...,Gn have...
-
space X {\displaystyle X} with
topology τ {\displaystyle \tau } is a
subcollection B {\displaystyle B} of τ {\displaystyle \tau } that
generates τ , {\displaystyle...
- {S}}} of
subsets of a set X {\displaystyle X} , an
exact cover is a
subcollection S ∗ {\displaystyle {\mathcal {S}}^{*}} of S {\displaystyle {\mathcal...
-
different balls from the
subcollection G, and G
remains a
cover for E (every
point y ∈ E
belongs to at
least one ball from the
subcollection G). This property...
-
finite intersection property (FIP) if the
intersection over any
finite subcollection of A {\displaystyle A} is non-empty. It has the
strong finite intersection...
- more than 15,000,000 free
digital recordings in the collection. The
subcollections include audio books and poetry, podcasts, non-English audio, and many...
- {Xα} be a
collection of
compact convex subsets of Rd, such that
every subcollection of
cardinality at most d + 1 has
nonempty intersection. Then the whole...
- ∈ C S , {\displaystyle X=\bigcup _{S\in C}S\ ,}
there is a
finite subcollection F ⊆ C such that X = ⋃ S ∈ F S . {\displaystyle X=\bigcup _{S\in F}S\...
-
neighborhood Vx of a. Then C ′ is an open
cover of S, but any
finite subcollection of C ′ has the form of C
discussed previously, and thus
cannot be an...
- category. A
subcategory S of C is
given by a
subcollection of
objects of C,
denoted ob(S), a
subcollection of
morphisms of C,
denoted hom(S). such that...
