I am reading 'Basic topology- M. A. Armstrong' and in Chapter 2 my book defines:
Open set: Let be a topological space then is an open set if its a neighborhood of each of its points.
Neighborhood: is a neighborhood of if we can find an open set such that
To define open sets we needed neighborhoods and to define neighborhoods we needed open sets. This seems ambiguous to me. Help needed on this.
Also if you know a good book on Topology for Beginners then please tell me. I have read 'A first course in Real Analysis- Sterling K. Berberian'.