Topological Space

up:: 026 MOC Topology

A topological space is a double ($X,\tau )$, where $X$ is a set and $\tau$ is a Topology of $X$.

Examples

The real line is a topological space, alongside the standard topology ${\tau }_{\mathbb{R}}$.

Any Metric Space can be seen as a topological space as per their Metric Topology.

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References

• Sutherland, Wilson A. Introduction to metric and topological spaces. Oxford University Press, 2009.
• Notas para um Curso de Física-Matemática, João Carlos Alves Barata. Cap. 27