Complete topological space
 | This page is a primary topic and an article should be written about it. One or more editors believe it holds the title of a broad-concept article. The article may be written here or drafted elsewhere first. Related titles should be described here, while unrelated titles should be moved to Complete topological space (disambiguation). |
Complete topological space may refer to:
- a topological space equipped with an additional Cauchy space structure which is complete,
- e. g., that it is a complete uniform space with respect to an aforementioned uniformity,
- e. g., that it is a complete metric space with respect to an aforementioned metric;
- e. g., that it is a complete uniform space with respect to an aforementioned uniformity,
- a topological space with some topological property related to the above:
- that it is completely metrizable (often called (metrically) topologically complete),
- or that it is Čech-complete (a property coinciding with completely metrizability on the class of metrizable spaces, but including some non-metrizable spaces as well),
- or that it is completely uniformizable (also called topologically complete or Dieudonné-complete by some authors).
This disambiguation page lists articles associated with the title Complete topological space.
If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article.
If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article.