516: Topological Subspace

<The previous article in this series | The table of contents of this series | The next article in this series>

definition of topological subspace

---

Topics

About: topological space

---

The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description
• 2: Natural Language Description

---

Starting Context

• The reader knows a definition of subspace topology of subset of topological space.

---

Target Context

• The reader will have a definition of topological subspace.

---

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:
$T^{\prime }$: $\in \{\text{ the topological spaces }\}$
$\ast T$: $\subseteq T^{\prime }$ with the subspace topology
//

Conditions:
//

---

2: Natural Language Description

For any topological space, $T^{\prime }$, any subset, $T\subseteq T^{\prime }$, with the subspace topology

---

References

<The previous article in this series | The table of contents of this series | The next article in this series>