Sufficient condition for the density

Flem
Messages
2
Reaction score
0
I'm sorry for my bad English.
Let X a completely Hausdorff space. Will the be space of all continuous real-valued functions on a space X with the topology of pointwise convergence dense in the Tychonoff product ℝX?
 
Physics news on Phys.org
I'm sorry for my foolish. There is nothing difficult. The question is closed.
 

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
View full post »

Similar threads

I Homemorphism in quotient topology
Replies
5
Views
671
What is the Significance of Completely Regular Spaces?
3
Replies
125
Views
21K
I Is [0,1] under the subspace topology Hausdorff, Compact, or Connected?
Replies
15
Views
3K
I Convergence not defined by any metric
Replies
17
Views
1K
I Noncompact locally compact Hausdorff continuous mapping
Replies
14
Views
2K
A Why does the characteristic function not converge in the L1 space?
Replies
11
Views
5K
I A non-empty intersection of closures of level sets implies discontinuity
Replies
1
Views
2K
I Regarding dominated convergence theorem in Folland
Replies
5
Views
2K
MHB Necessary and Sufficient Meaning of Isometries by D. J. H. Garling
Replies
5
Views
2K
A What Topological Vector Spaces have an uncountable Schauder basis?
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top