In this case, the phrase " induced map " would have a formal, unambiguous meaning, just as " the pullback of " f " " has a formal, unambiguous meaning.
12.
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.
13.
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.
14.
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.
15.
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.
16.
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 ".
17.
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.
18.
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.
19.
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.
How to say induced map in Hindi and what is the meaning of induced map in Hindi? induced map Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.
