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20 sonuçtan 1-3 arası sonuçlar
Sayfa 504
If in Theorem A we replace the complex C*(M) of singular chains by the simplicial
chain complex C^(A1), then it will be possible to consider the torsion of the
resulting chain homotopy equivalence. We recall the corresponding notions.
If in Theorem A we replace the complex C*(M) of singular chains by the simplicial
chain complex C^(A1), then it will be possible to consider the torsion of the
resulting chain homotopy equivalence. We recall the corresponding notions.
Sayfa 503
In the first part of the present paper , we prove that the construction of the chain
homotopy equivalence C # ( f , x ) → CA ( M ) 0 L as given in ( P2 ) is functorial (
see Theorem A ) . In the second part ( see Theorem B ) , we prove that the torsion
...
In the first part of the present paper , we prove that the construction of the chain
homotopy equivalence C # ( f , x ) → CA ( M ) 0 L as given in ( P2 ) is functorial (
see Theorem A ) . In the second part ( see Theorem B ) , we prove that the torsion
...
Sayfa 514
2 yields a chain homology equivalence u : C ( f , v ; l ) → S . such that fou ~ Jl .
Since both C ( f , v ; l ) and S . are free chain complexes over L - , the map u is a
chain homotopy equivalence . We have Min ~ In by construction , and the
existence ...
2 yields a chain homology equivalence u : C ( f , v ; l ) → S . such that fou ~ Jl .
Since both C ( f , v ; l ) and S . are free chain complexes over L - , the map u is a
chain homotopy equivalence . We have Min ~ In by construction , and the
existence ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero