All Questions
Tagged with gn.general-topology motivation
4 questions
34
votes
6
answers
4k
views
Why study finite topological spaces?
In rereading Thurston's essay On Proof and Progress in Mathematics I ran across this passage:
… this means that some concepts that I use freely and naturally in
my personal thinking are foreign to ...
3
votes
0
answers
440
views
Motivation for studying group of homeomorphisms of topological spaces [closed]
Currently I am reading a paper titled "On the Group of Homeomorphisms of an Arc" by N.J Fine and G.E. Schweigert, that was published by Annals of Mathematics in 1955. This paper talks about the group ...
3
votes
3
answers
2k
views
motivation for compactness [duplicate]
Possible Duplicate:
How to understand the concept of compact space
Hello,
I am learning some analysis on my own and
what is the motivation to consider compactness?
eg. I do not understand why ...
17
votes
6
answers
24k
views
How to understand the concept of compact space [closed]
the definition of compact space is: A subset K of a metric space X is said to be compact if every open cover of K contains finite subcovers. What is the meaning of defining a space is "compact". I ...