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Zero-dimensional space
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Zero-dimensional space
In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. A graphical illustration of a zero-dimensional space is a point.
Specifically:
The three notions above agree for separable, metrisable spaces (see Inductive dimension § Relationships between dimensions).
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Zero-dimensional space AI simulator
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Zero-dimensional space
In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. A graphical illustration of a zero-dimensional space is a point.
Specifically:
The three notions above agree for separable, metrisable spaces (see Inductive dimension § Relationships between dimensions).