definition of paracompact topological space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of locally finite set of subsets of topological space.
- The reader knows a definition of refinement of open cover of subset of topological space.
Target Context
- The reader will have a definition of paracompact topological space.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\(*T\): \(\in \{\text{ the topological spaces }\}\)
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Conditions:
\(\forall \{U_j \vert j \in J\} \in \{\text{ the open covers of } T\} (\exists \{V_l \vert l \in L\} \in \{\text{ the refinements of } \{U_j \vert j \in J\}\} (\{V_l \vert l \in L\} \in \{\text{ the locally finite sets of subsets of } T\}))\)
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