6
votes
1answer
119 views

best intuitive books/video lectures to read topology and functional analysis

What are the best intuitive books/video lectures to read topology and functional analysis ? I am aware of basic linear algebra, analysis and measure theory.
0
votes
1answer
34 views

Resources on Stone-Čech compactification

I'm currently studying R.C. Walker's book on the subject which seems quite extensive and detailed. I've also been skimming through Hindman and Strauss's book Algebra in the Stone-Čech ...
2
votes
3answers
1k views

Resources for self-study of general topology

Could you point me to good resources for self-study of general topology. I want to learn the basics and how to prove theorems about structures like polyhedra by myself.
1
vote
2answers
538 views

Topology for beginners [duplicate]

Possible Duplicate: best book for topology? Please Suggest some good books on Topology and Functional Analysis. It would be good if somebody can post links of video lectures related to ...
1
vote
1answer
57 views

Research about Convex Kernels

I am currently doing research in generalizing the concept of a convex kernel. I would appreciate any links or resources pertaining to current research and basic results about convex kernels.
2
votes
2answers
314 views

Introduction to topological manifolds?

I'm searching for a freely available text that introduces topological and smooth manifolds. I don't need much, just their basic properties and a bit more motivation than the wikipedia articles offers. ...
13
votes
4answers
745 views

Introduction to Filters in Topology

Question: What are some good resources for a student who has taken algebraic and point-set topology and who wishes to learn how filters and ultrafilters are applied in topology? Motivation: I've seen ...