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Sayfa 268
Coverings . Given a family U of subsets in a metric space Z , we put mesh ( U , 2 )
sup { diam U : z EU EU } for every 2 e 2 , and ... A family U is called a covering of
Z if U { U : U EU } = Z. A covering U is said to be colored if it is a union of m > 1 ...
Coverings . Given a family U of subsets in a metric space Z , we put mesh ( U , 2 )
sup { diam U : z EU EU } for every 2 e 2 , and ... A family U is called a covering of
Z if U { U : U EU } = Z. A covering U is said to be colored if it is a union of m > 1 ...
Sayfa 274
We take a positive r < min { co8 ' / 4 , To } , and for every je N consider the
covering û ; = U1 ,, where t ; = p ) . Then the sequence ûj , je N , of open
coverings of X satisfies conditions ( i ) and ( ii ) ( with 8 = 8 and co = c % ) . Since
Lũ , ) > 68'T ...
We take a positive r < min { co8 ' / 4 , To } , and for every je N consider the
covering û ; = U1 ,, where t ; = p ) . Then the sequence ûj , je N , of open
coverings of X satisfies conditions ( i ) and ( ii ) ( with 8 = 8 and co = c % ) . Since
Lũ , ) > 68'T ...
Sayfa 275
A covering U of Z is said to be c - balanced , c > 0 , if inf { diam ( U ) : U EU } > c.
mesh ( U ) . The notion of a balanced covering combined with the local capacity
allows us to estimate the capacity of a covering from below as follows . Lemma
4.6 ...
A covering U of Z is said to be c - balanced , c > 0 , if inf { diam ( U ) : U EU } > c.
mesh ( U ) . The notion of a balanced covering combined with the local capacity
allows us to estimate the capacity of a covering from below as follows . Lemma
4.6 ...
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İçindekiler
Данилов Л И Об отсутствии собственных значений в спектре | 47 |
A Antipov and A I Generalov The Yoneda algebras of symmetric special | 377 |
A G Bytsko On higher spin U sl2invariant Rmatrices | 393 |
Telif Hakkı | |
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algebraic analytic apply approximation arbitrary argument assume bounded called closed coefficients coincides complete condition connected Consequently consider constant construction contains continuous corresponding covering curves defined definition deformation denote depend determined dimension discrete edges element English equation equivalent estimate exists fact finite fixed formula function given Goursat problem graph identity implies inequality integral introduce invariant lattice Lemma limit linear locally Math Mathematical matrix means measure metric Moreover Note obtain operator parameters particular periodic Phys points polynomial positive potential problem Proof proof of Theorem Proposition prove quantum rational reduced regular relation Remark respectively result satisfies sequence side singular solution space spectrum statement Subsection suffices Suppose Theorem theory transformation unique values vector vertex vertices zero