subspace topology sentence in Hindi
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- This construction is dual to the construction of the subspace topology.
- Notice that each stalk has the discrete topology as subspace topology.
- Generalizing this, we arrive at the definition of the subspace topology.
- The subspace topology and product topology constructions are both special cases of initial topologies.
- Embedded submanifolds always have the subspace topology.
- Every subgroup of a topological group is itself a topological group when given the subspace topology.
- It is not necessarily true that the subspace topology is the same as the group topology.
- The rational numbers, as a subspace of the real numbers, also carry a subspace topology.
- Then the subspace topology on S is defined as the coarsest topology for which \ iota is continuous.
- That is, the submanifold topology on " S " is the same as the subspace topology.
- An F & sigma;-set in a collectionwise normal space is also collectionwise normal in the subspace topology.
- In general, it will be finer than the subspace topology ( i . e . have more open sets ).
- More specifically, in these cases, the Weil group does not have the subspace topology, but rather a finer topology.
- An "'irreducible set "'is a subset of a topological space for which the subspace topology is irreducible.
- S is then homeomorphic to its image in X ( also with the subspace topology ) and \ iota is called a topological embedding.
- And equip it with the subspace topology and the projection map given by the projection onto the first factor, i . e .,
- The group of units R ^ { \ times }, together with the subspace topology, aren't a topological group in general.
- Suppose that " F " is a vector subspace Y ^ T so that it inherits the subspace topology from Y ^ T.
- By " interior " points I mean points of the topological interior by the subspace topology induced via the plane of the respective triangles.
- The projective Zariski topology is defined for projective algebraic sets just as the affine one is defined for affine algebraic sets, by taking the subspace topology.
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