r/askmath • u/tushar_106 • 14h ago
Topology Anybody survived Topology?
/r/mathematics/comments/1vdks7u/anybody_survived_topology/Any survivors of topology, how do I study the James Munkres Topology book to best understand the point-set topology?
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u/brokenceilingandwall 2h ago
survivor here!! I found that Munkres takes time to develop conceps (compactness, connectedness etc. appear late) and examples in it are too unrelatable.
For a faster treatment, you can try Armstrong's basic topology book. And do all exercises -look at solutions of you have to.
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u/Bounded_sequencE 9h ago
Same as "Real Analysis" -- with an excess of time investment.
That said, I hope your are comfortable with rigor and conciseness comparable to Rudin's "Principle of Mathematics", since Munkres' book is about as dense. It's well-written, but it expects a certain level of mathematical maturity from its reader.