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visits member for 4 years, 7 months
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  two queens
 
 
    mathematics and death
    not cheerful not sad
    guide me through the land
    pat me on my head
 
    they live
    in my one man nation
    i follow them
    to my destination
 
 
wh,
(long ago)



  polynomials over finite Galois field
  spread so evenly across their finite affine space
  i wish for a network of friends
  to count on


wh,
1996-03-05/06



1d
comment Maximal connected topologies
What are the other properties of this space?
1d
comment Proof that no differentiable space-filling curve exists
How research question was it? :-)
1d
comment Proof that no differentiable space-filling curve exists
Such spaces (curves) are a countable union of subspaces homeomorphic to a closed interval. Thus these spaces must be 1-dimensional (or, to use a different argument, they are small in the sense of Baire categories).
Mar
28
comment Connectedness in the language of path-connectedness
This $\ C\ $ works only for a given in advance family of connected spaces, and there is no any sharp upper bound on the size of $\ C.\ $ Thus I fail to see this construction as cool or very nice. On the contrary, it is routine, and it doesn't buy much.
Mar
28
revised Connectedness in the language of path-connectedness
covering dimention of S_A
Mar
28
revised Connectedness in the language of path-connectedness
cosmetic
Mar
28
revised Connectedness in the language of path-connectedness
fixing trivialities. Not finished(?)
Mar
28
revised Connectedness in the language of path-connectedness
fixing trivialities. Not finished(?)
Mar
28
revised Connectedness in the language of path-connectedness
fixing trivialities. Not finished(?)
Mar
28
revised Connectedness in the language of path-connectedness
off term
Mar
27
revised Connectedness in the language of path-connectedness
EXTRA
Mar
27
revised Connectedness in the language of path-connectedness
the missing argument--connectedness
Mar
27
revised Connectedness in the language of path-connectedness
cosmetic
Mar
27
answered Connectedness in the language of path-connectedness
Mar
27
comment A relative version of Urysohn's Lemma?
Oh, you mean that this is a single question, not two independent questions. Sorry.
Mar
27
comment A relative version of Urysohn's Lemma?
When $Y$ is normal, and $s(X)$ is closed in $Y$ then there kis a Urysohn function $f:Y\rightarrow[0;1]$ such that $f|s(X)=1$, and $f|Y\setminus U=0$ (am I missing something?).
Mar
26
comment A relative version of Urysohn's Lemma?
The second question is instantly true when $\ Y\ $ is normal (right?), so that it is non-trivial--possibly difficult--for non-normal Y (which feel a bit weird).
Mar
24
comment reflexive banach space
Thank you. Now, it's easier to find it and possibly make a reference to it within MO.
Mar
24
comment reflexive banach space
Alpx, are you calling me "this non-expert". OK, it's true. The question is interesting but too vague. @BillJohnson 's answer is great. I'd like to see it as THE ANSWER (are there some other "THE ANSERWs"? Then let them see them too).
Mar
21
comment Harmonic function, inversion
What is the definition of the factorial harmonius! ?