Tagged Questions
4
votes
0answers
58 views
Locally connected and compact Hausdorff space invariant of continuous mappings
I am looking for a reference (not proof) to the following theorem:
If $X$ is a compact and locally connected topological space, Y is a Hausdorff topological space, $f:X\to Y$ is continuous and ...
3
votes
1answer
31 views
The 'compactness cardinal' of a space
I'm looking for references (and a name!) for the following invariant of a topological space $X$:
The least (infinite) cardinal $\kappa$ such that any open cover of $X$ has a subcover of cardinality ...
0
votes
0answers
33 views
Stone-Čech compactification [duplicate]
I'm looking for the proof of Stone-Čech compactification for the following Banach algebra $A=C_b(\Omega)$ where $\Omega$ is a completly regular space and $C_b(\Omega)$ is the space of all bounded ...
2
votes
1answer
186 views
Are compacta in a complete infinite dimensional normed space nowhere dense?
Let $X$ be an infinite dimensional Banach space. I want to show that any compact subset $\varnothing\neq A\subset X$ is nowhere dense.
I've been able to prove the statement for ...
-1
votes
1answer
124 views
Stone-Cech compactification of the separable Hilbert space
Where can I read about the Stone-Cech compactification of the separable Hilbert space?
2
votes
1answer
150 views
Top cohomology detecting compactness
Could someone point me to a standard reference for the fact that the top cohomology $H^n(M,A)$ of an $n$-dimensional manifold $M$ is non-trivial for local coefficients $A$ if and only if the manifold ...
5
votes
1answer
129 views
Paracompact and Compactly Generated spaces
A couple of days ago, thanks to Strom's excellent book Modern Classical Homotopy Theory, I started reading up on compactly generated spaces, weak Hausdorff spaces and compactly generated weak ...
