discrete topology sentence in Hindi
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- Notice that each stalk has the discrete topology as subspace topology.
- The cocountable topology on a countable set is the discrete topology.
- On J _ K, we install the discrete topology.
- The natural topology on S is the discrete topology.
- This is a countable space, and it does not have the discrete topology.
- Any group can be given the discrete topology.
- The trivial and discrete topologies both fit your axioms, just to name two easy examples.
- Every subset of "'R "'is clopen with respect to the discrete topology.
- To define the "'discrete topology "', we declare all sieves to be covering sieves.
- For example, let " G " be the group with two elements, under the discrete topology.
- In fact now I see that an even simpler counterexample is the discrete topology on any X of positive dimension.
- In the case of topologies, the greatest element is the discrete topology and the least element is the trivial topology.
- In discrete group theory, where " G " has the discrete topology, a simpler definition is used.
- Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in significant fashion.
- There are some occasions when a topological group or Lie group is usefully endowed with the discrete topology,'against nature '.
- Equivalently, a connection is flat if the structure group can be reduced to the same underlying group but with the discrete topology.
- The greatest element in this fiber is the discrete topology on " X " while the least element is the indiscrete topology.
- That is if X \ backslash \ { p \ } has the discrete topology then the open extension topology will be the excluded point topology.
- This also defines a metric, but gives a completely different topology, the " discrete topology "; with this definition numbers cannot be arbitrarily close.
- A group algebra has an identity, as opposed to just an approximate identity, if and only if the topology on the group is the discrete topology.
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