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29 sonuçtan 1-3 arası sonuçlar
Sayfa 478
Assume that the metric on X is locally bi - Lipschitz with respect to the inner metric
. Let f : X + Y be a locally Lipschitz map such that for some C > 0 each blowup
fatin : XATI ) Ytt ) is C - bi - Lipschitz . Then f : X Y is locally bi - Lipschitz . Remark
1 ...
Assume that the metric on X is locally bi - Lipschitz with respect to the inner metric
. Let f : X + Y be a locally Lipschitz map such that for some C > 0 each blowup
fatin : XATI ) Ytt ) is C - bi - Lipschitz . Then f : X Y is locally bi - Lipschitz . Remark
1 ...
Sayfa 480
Let Cor > 0 ; we say that a locally Lipschitz map f : X + Y is ( C , r ) - open at a
point X e X if for all ĉ E B , ( x ) and all ñ < r - d ( x , ) we have BCF ( f ( ) ) c f ( B ( ) )
. Observe that in this case f is ( C , r – 7 ) - open at each 7 with ñ = d ( x , c7 ) < r .
Let Cor > 0 ; we say that a locally Lipschitz map f : X + Y is ( C , r ) - open at a
point X e X if for all ĉ E B , ( x ) and all ñ < r - d ( x , ) we have BCF ( f ( ) ) c f ( B ( ) )
. Observe that in this case f is ( C , r – 7 ) - open at each 7 with ñ = d ( x , c7 ) < r .
Sayfa 483
If we assume Y to be only locally geodesic , then the same argument works if it is
known that all points yi , y2 E Bēr ( y ) are connected in Y by a geodesic . This
finishes the proof of Theorem 1 . 2 . Under the assumptions of Proposition 4 .
If we assume Y to be only locally geodesic , then the same argument works if it is
known that all points yi , y2 E Bēr ( y ) are connected in Y by a geodesic . This
finishes the proof of Theorem 1 . 2 . Under the assumptions of Proposition 4 .
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İçindekiler
A Antipov and A I Generalov The Yoneda algebras of symmetric special | 377 |
A G Bytsko On higher spin U sl2invariant Rmatrices | 393 |
Dirac operator | 409 |
Telif Hakkı | |
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algebraic analytic apply approximation arbitrary argument assume asymptotic bounded called closed coefficients coincides complete condition connected Consequently consider consists constant construction contains continuous corresponding curves defined definition denote depend determined differential dimension discrete edges element equal equation equivalent estimate example exists fact finite fixed formula function given Goursat problem graph hyperbolic identity implies inequality integral introduce invariant lattice Lemma limit linear locally Math Mathematical matrix functions means measure metric Moreover Note obtain operator parameter particular periodic 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 sufficiently Suppose Theorem theory transformation unique values vector vertices zero