metric space वाक्य
उदाहरण वाक्य
मोबाइल
- Recall that a continuum is a nonempty connected compact metric space.
- The open balls of a metric space are a unions of open balls.
- So, S must be infinite or the metric space is trivial.
- In order to prove this theorem Gromov introduced a convergence for metric spaces.
- A large class of spaces satisfying the countable first axiom are metric spaces.
- A set with a metric is called a metric space.
- There are, however, topological spaces that are not metric spaces.
- One can generalize the notion of energy distance to probability distributions on metric spaces.
- The Baire category theorem says that every complete metric space is a Baire space.
- Paracompact manifolds have all the topological properties of metric spaces.
- Every metric space is Hausdorff and paracompact ( and hence normal and Tychonoff ).
- Clearly, every isometry between metric spaces is a topological embedding.
- Also note that any metric space is a uniform space.
- Ostrand generalized the Kolmogorov superposition theorem to compact metric spaces.
- An uncountable product of metric spaces need not be metrizable.
- Let ( M, d ) be a separable metric space.
- Not all metric spaces may be embedded in Euclidean space.
- Also, note that any metric space is a uniform space.
- Asymptotic cones are particular examples of ultralimits of metric spaces.
- My question is, why is this restricted to metric spaces?
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