I am reading "An Introduction to Differential Topology" by Dennis Barden and Charles Thomas ...(adsbygoogle = window.adsbygoogle || []).push({});

I am focussed on Chapter 1: Differential Manifolds and Differentiable Maps ...

I need some help and clarification on an apparently simple notational issue regarding the definition of a chart (Definition 1.1.3) ...

Definition 1.1.3 reads as follows:

My question regarding this definition is as follows:

What is the meaning of [itex]M[/itex] and how does it differ from [itex]M^m[/itex]?

Surely the relationship between [itex]M[/itex] and [itex]M^m[/itex] is not the same as the relationship between [itex]R[/itex] and [itex]R^m[/itex] ... ???

I am not even sure what [itex]M[/itex] is ... ?

Can someone clarify the above issue for me ...?

Hope someone can help ...

Peter

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So that readers can understand the context and notation of Barden and Thomas, I am providing the pages of the text leading up to and including the definition referred to above ... ... as follows ... ...

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# Charts on Topological Manifolds - Simple Notational Issue

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