I am taking a class on Manifolds and whilst reading the book I came about some terminology that has got me confused.(adsbygoogle = window.adsbygoogle || []).push({});

What is the differences/relations between these terms?

Euclidian Space

Topological Space

Metric Space

Vector Space

I thought that a vector space was based on the premise that each coordinate described by its values are of an Euclidian Space, but the book I am reading acts as though they are completely two different things. Also, the other terms are used in Differential Geometry and I have no experience with them. So could you guys clarify, I would appreciate it a lot! :)

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# Introduction to Mainfolds Help

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