Difference between revisions of "Countability Axioms"

From hyperspacewiki
Jump to: navigation, search
(Created page)
 
(Added Category)
 
Line 13: Line 13:
 
== References ==
 
== References ==
 
<references group="references" />
 
<references group="references" />
 +
 +
[[Category:General Topology]]

Latest revision as of 05:43, 1 December 2018

Unlike compactness and connectedness, countability and separation are problems that come about as a direct result of the study of Topology itself, such as imbedding a given space in a metric space or in a compact Hausdorff space. Solutions to these problems involve the Countability Axioms, as well as their related counterparts the separation axioms.[1]

Outline

  1. First Countability Axiom
  2. Second Countability Axiom

Further Reading

See Also

References

  1. Munkres, James R. Topology, 2015. pg. 187-189.