# Wlodzimierz Holsztynski

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## Registered User

 Name Wlodzimierz Holsztynski Member for 2 years Seen 32 mins ago Website Location sqrt(-1) Age

two queens

mathematics and death
guide me through the land

they live
in my one man nation
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

 1h revised Are sums of the inverses of prime siblings finite?cosmetic 1h revised Are sums of the inverses of prime siblings finite?Extra PART II 3h comment Are sums of the inverses of prime siblings finite?@Nilotpal: yes (more or less), is there any gap $d$ greater than or equal $4$ ($d=2$ is for twin primes) between primes for which the sum of the reciprocal primes differing by d is convergent. (Your English is smoother than mine). Thank you. 4h asked Are sums of the inverses of prime siblings finite? 1d comment What is barycentric simplicial subdivision?@Heng, I'd say hit the textbooks or Google (perhaps wikipedia, I don't know). 1d revised What is barycentric simplicial subdivision?edited tags 1d answered Why is Set, and not Rel, so ubiquitous in mathematics? 1d comment Why is Set, and not Rel, so ubiquitous in mathematics?It took me only a dozen editions to get $\LaTeX$ right above. It still doesn't look pretty but I am not going to beautify it :-) 1d comment Why is Set, and not Rel, so ubiquitous in mathematics?@mbsq: I'll guess and signal a direction toward an answer (I don't know your formalism): $\{f|f:\omega\rightarrow \omega_1\} =\bigcup_{\alpha < \omega_1}\{i_{\alpha\omega_1}\circ(f:\omega\rightarrow\alpha)\}$. (you and OM are killing me with $\LaTeX$. Yes, this is all just a matter of convention--said Alice in Wonderland. 1d revised Why is Set, and not Rel, so ubiquitous in mathematics?typo 1d revised Why is Set, and not Rel, so ubiquitous in mathematics?2nd part (but the system is acting up) 1d comment Why is Set, and not Rel, so ubiquitous in mathematics?@Qfwfq, there was plenty of (objective) evidence during my years. I'll expand my "Answer" above to reflect it somewhat. -o=o- @mbsq, what you call so cheerfully "absurdity" is the mathematical reality at least since Eilenberg + (Mac Lane, Cartan, Steenrod, Grothendieck, ...), while I am old enough to remember the good set-theoretical, pre-category times. 2d revised Is there a better function (linear or even a projection)?title expansion 2d comment Importance of separability vs. second-countabilityIsn't thee theorem about separability of the product of continuum many separable spaces due to Edward Szpilrajn-Marczewski? BTW, it holds for the product of $2^a$ spaces with dense subsets of cardinality less or equal $a$. 2d comment Is this cube packing possible?@Dustin, I see only a very weak analogy between the 2d and 3d situations described in your question. What am I missing? 2d answered Why is Set, and not Rel, so ubiquitous in mathematics? 2d revised Why is Set, and not Rel, so ubiquitous in mathematics?formatting 2d revised Why is Set, and not Rel, so ubiquitous in mathematics?cosmetics + PS 2d answered Why is Set, and not Rel, so ubiquitous in mathematics? May17 revised General and translational Birkhoff lattices. Equational classes.some noise removed May17 comment General and translational Birkhoff lattices. Equational classes.Thank you Gerhard "web traveler" Paseman. May16 revised General and translational Birkhoff lattices. Equational classes.a clearer choice of a word May16 comment Germs at infinity of sequence of integersC'mon Andreas, "Balcerzyk" is not such a hard name :-) May16 revised General and translational Birkhoff lattices. Equational classes.a more complete description of the goal May16 comment Proof that $L^2(0,T;X)^* = L^2(0,T;X^*)$I am curious: what is what? May16 asked General and translational Birkhoff lattices. Equational classes. May16 comment What are some reasonable-sounding statements that are independent of ZFC?Wow! (Just unbelievable :-). May16 revised Can a composition with itself of a universal self-map be non-universal?an equivalent but simpler formula May16 comment Easy proof of the fact that isotropic spaces are EuclideanPerhaps someone may fix the typo in (*). May15 comment A characterization of Hilbert spaces?@Sergei, your theorem/proof is very-very nice, you had an idea after an idea. May15 comment A characterization of Hilbert spaces?@Sergei, somehow I missed your answer, I discovered your answer just a moment ago, I am really sorry. I'll carefully read your answer within 24h, and will comment on it (even if I will not get it :-), but at least I will admit it). May15 comment Simplex with edges of length at least s having smallest circumradiusOtherwise (if it were complex) I would not be able to provide it :-). You're most welcome. BTW. I introduced this method (most likely very well known?) for some other geometric results in the past. May15 revised Simplex with edges of length at least s having smallest circumradiusthe whole enchilada May15 accepted Simplex with edges of length at least s having smallest circumradius May15 revised Simplex with edges of length at least s having smallest circumradiusREMARK May15 revised Simplex with edges of length at least s having smallest circumradiusdetails (expansion) May15 revised Picturing a Certain Torus and Klein Bottletypo May15 comment Simplex with edges of length at least s having smallest circumradiusEdges are intervals $(e_j\ e_k)$ for $j\ne k$. May15 comment Simplex with edges of length at least s having smallest circumradiusYou ask for the shortest radius when the edges are long. I look above for the longest minimum of edges when the radius is short. It leads to your question. It's a standard duality for such situations. (And you can always move your simplex to position the center of the sphere at the origin of the space; I'll expand the text of my "Answer" a little later; first let my eyes rest from the $\LaTeX$ struggles and battles from other MO questions. May15 revised Picturing a Certain Torus and Klein Bottle2nd part May15 answered Picturing a Certain Torus and Klein Bottle May15 answered Simplex with edges of length at least s having smallest circumradius May15 comment Simplex with edges of length at least s having smallest circumradiusWow! Two hours and still no answer?! I better play MO's savior :-) May14 comment Research on the structure of a non-Goldbach number?What's the difference between studying non-Goldbach integers and the Goldbach conjecture? (to me--none). May14 comment Is it true that Nature promotes products?Oh, it is a mathematical question after all. I read the title, Nature, produce, ... Well, most(?) of us are used to the SET category. And SET is not too symmetric, is not self-dual. May14 comment “monotone” homotopy?My instant reflex would be to consider the continuity of $t\mapsto f^{-1}_t(A)$ in the space of closed sets (with the Hausdorff metric) rather than just continuity of the distance for the purpose of the definition of the monotone homotopy. May13 comment Can a composition with itself of a universal self-map be non-universal?I apologize for my initial misspellings of Ralph's last name. In my email there were several instances of his name appearing, and each time, when there was a mixture of the lower and upper characters, the letter k/K appeared in the lower case (which I carefully checked before posting my question). Then seeing your @Gerhard "correct spelling" Paseman I trusted you, of course, but checked the state of affairs with Google anyway, and indeed you and Google agree. May13 comment Can a composition with itself of a universal self-map be non-universal?@Gerhard "universal" Paseman: I'll expand the text of my "question" to provide a justification of "EXAMPLE" (I'll also try to include the reference to my corresponding "Fund. Math" paper.). About the McKenzie's example, I have an email from him with a pdf attachment. I wish he showed up on MO and told his story himself. I have no qualms to inform the public about his result, but I feel uneasy about writing more about it. May13 revised Can a composition with itself of a universal self-map be non-universal?Example explained May13 revised Can a composition with itself of a universal self-map be non-universal?cosmetic