Definition of Preregularity. Meaning of Preregularity. Synonyms of Preregularity

Here you will find one or more explanations in English for the word Preregularity. Also in the bottom left of the page several parts of wikipedia pages related to the word Preregularity and, of course, Preregularity synonyms and on the right images related to the word Preregularity.

Definition of Preregularity

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Meaning of Preregularity from wikipedia

- with preregularity often imply stronger separation axioms. For example, any locally compact preregular space is completely regular. Compact preregular spaces...
- compactness) will imply regularity if some weaker separation axiom, such as preregularity, is satisfied. Such conditions often come in two versions: a regular...
- condition than either preregularity (which is usually weaker) or complete regularity (which is usually stronger), locally compact preregular spaces are normally...
- this case, such a space X is called preregular. (There even turns out to be a more direct definition of preregularity). Now consider a structure that can...
- spaces, with Y locally compact Hausdorff (or even just locally compact preregular), then the composition map C(Y, Z) × C(X, Y) → C(X, Z), given by ( f ...
- different notion of Fréchet space in functional analysis.) X is R1, or preregular, if any two topologically distinguishable points in X are separated by...