definition of closed upper half Euclidean Topological Space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of Euclidean topological space.
- The reader knows a definition of topological subspace.
Target Context
- The reader will have a definition of closed upper half Euclidean 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:
\( \mathbb{R}^d\): \(= \text{ the Euclidean topological space }\)
\(*\mathbb{H}^d\): \(= \{r \in \mathbb{R}^d \vert 0 \le r^d\}\) as the topological subspace of \(\mathbb{R}^d\)
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Conditions:
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