induced map वाक्य
उदाहरण वाक्य
मोबाइल
- Similarly, the maps f and p induce maps of differential graded coalgebras
- Moreover a natural transformation between two such functors induces a homotopy between the induced maps.
- Soon after Floer's introduction of Floer homology, Donaldson realized that cobordisms induce maps.
- The differential or pushforward of a map between manifolds is the induced map between tangent spaces of those maps.
- The argument passes " E " to the induced map \ Phi _ E and uses completely positive.
- For example, over the integers, the pairing is nondegenerate but not unimodular, as the induced map from to is multiplication by 2.
- In this case, the phrase " induced map " would have a subjective meaning, depending on context to establish what particular process we mean.
- A morphism is monic if and only if the induced map, defined by for all morphisms, is injective for all " Z ".
- There exists a map f : Z \ rightarrow X such that the induced map f _ \ ast on the fundamental groups is same as \ phi
- In algebraic topology, a "'phantom map "'is a map between spectra such that the induced map between homology theories is zero.
- In this case, the phrase " induced map " would have a formal, unambiguous meaning, just as " the pullback of " f " " has a formal, unambiguous meaning.
- We can subdivide X into a complex R ( X ) by requiring that the induced map f : R ( X ) \ rightarrow R ( S _ R ) restricts to a homeomorphism onto each open cell.
- Because the map induced on a composition of maps is the composition of the induced maps, these homology theories are functors from the category of topological spaces with continuous maps to the category of abelian groups with group homomorphisms.
- By dividing the two conditions on the induced map in the definition, one can define "'left semi-abelian categories "'by requiring that \ overline { f } is a monomorphism for each morphism f.
- On the left is the class of the pullback of " P " to " Y "; on the right is the image of the class of " P " under the induced map in cohomology.
- The homology " stabilizes " in the sense of stable homotopy theory : there is an inclusion map, and for fixed " k ", the induced map on homology is an isomorphism for sufficiently high " n ".
- If f : X \ to Y is a local weak equivalence of simplicial presheaves, then the induced map \ mathbb { Z } f : \ mathbb { Z } X \ to \ mathbb { Z } Y is also a local weak equivalence.
- The inducing map from " H "-bundles to " G "-bundles is in general neither onto nor one-to-one, so the structure group cannot always be reduced, and when it can, this reduction need not be unique.
- The notion of a closed immersion is local in the sense that " f " is a closed immersion if and only if for some ( equivalently every ) open covering X = \ bigcup U _ j the induced map f : f ^ {-1 } ( U _ j ) \ rightarrow U _ j is a closed immersion.
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