bio | website | |
---|---|---|
location | sqrt(-1) | |
age | ||
visits | member for | 5 years |
seen | 6 hours ago | |
stats | profile views | 3,853 |
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
Aug
24 |
comment |
Countable path-connected Hausdorff space
Right, Joel - Urysohn's function. Thank you Todd for pointing me to Joel's answer. (Frankly, the q. posed above should never be considered "research"). |
Aug
12 |
awarded | Nice Answer |
Aug
11 |
awarded | Yearling |
Aug
11 |
comment |
Mathematical software wish list
When you enter url like abc.HTML in an browser then you see the html-formatted text. *** When you enter url like abc.tex in a latex browser than you see the latex-formatted file. |
Aug
10 |
comment |
Mathematical software wish list
What is an HTML browser? |
Aug
8 |
answered | Mathematical software wish list |
Aug
8 |
answered | Mathematical software wish list |
Jul
24 |
awarded | Revival |
Jul
9 |
comment |
Wanted: a “Coq for the working mathematician”
@MarkDickinson -- thank you. Thus does "sudo port" is a special port in Mac? I'll have to read this whole thread anew. |
Jul
3 |
awarded | Enlightened |
Jul
3 |
awarded | Nice Answer |
Jul
3 |
revised |
A question in general topology
typo and trivial grammar |
Jun
10 |
comment |
Looking for techniques of How to measure the Similarity/Dissimilarity between two images?
@RajeshD is right. Similarity with respect to what? |
Jun
7 |
comment |
If $A>B>0$, can we always find a positive real number $\alpha$, $0<\alpha < 1$ such that $\alpha A \geq B $?
The general definition considers the complex field, not real. |
Jun
7 |
comment |
If $A>B>0$, can we always find a positive real number $\alpha$, $0<\alpha < 1$ such that $\alpha A \geq B $?
The real part the relevant expression related to $\ A - B\ $ is greater than certain $\ \epsilon > 0\ $ when evaluated on the unit sphere. If you change $\ A-B\ $ a little, i.e. if you change $\ A\ $ a little then it'll be fine. |
Jun
7 |
comment |
If $A>B>0$, can we always find a positive real number $\alpha$, $0<\alpha < 1$ such that $\alpha A \geq B $?
Naturally. Thank you. Can't you prove a little sharper result: $\ \alpha\cdot A\ >\ B\ $ ? |
Jun
4 |
comment |
Extremely messy proofs
Banach used Baire category--simple and elegant. |
Jun
4 |
comment |
Extremely messy proofs
@ToddTrimble -- yes, and more, it's a characterization: a topology $\ T\ $ in $\ Y\ $ is maximal (among non-discrete topologies) $\ \Leftarrow:\Rightarrow\ $ there exists a (unique) point $\ v\in Y\ $ such that all points of $\ X := Y\setminus\{v\}\ $ are isolated, and the family $\ \{V\cap X : v\in V\in T\}\ $ is a maximal filter in $\ X\ $ REMARK The principal maximal filters in $\ X := X_v\ $ correspond 1-1 to maximal topologies which are non-Hausdorff. (The max. filters with the empty intersection correspond to maximal topologies which are Hausdorff). |
May
29 |
comment |
If $X$ is compact, is $[X]^2$ compact, too?
I'd vote to close this obviously non-research question if it were not for Ramiro's nice answer. |
May
28 |
comment |
Hausdorff space $X$ with $X\cong [X]^2$
Adam, thank you. |