bio  website  jvanname.myweb.usf.edu 

location  Gotham, NY  
age  25  
visits  member for  3 years 
seen  2 days ago  
stats  profile views  3,158 
I am interested in to varying degrees ordered sets, general topology, pointfree topology, settheory, universal algebra, and model theory. Most of my mathematics research involves dualities that are similar to Stone duality.
2d

awarded  Disciplined 
Mar 25 
comment 
Continuous image relation on topological spaces
The RudinKeisler ordering can be formulated in terms of continuous mappings between spaces. In particular, if $X,Y$ are discrete spaces, then each mapping $f:X\rightarrow Y$ extends uniquely to a continuous map $\overline{f}:\beta X\rightarrow\beta Y$ between the StoneCech compactifications. If $u\in\beta X,v\in\beta Y$, then $v\leq_{RK}u$ iff there is a continuous mapping $f:X\rightarrow Y$ such that $\overline{f}(u)=v$. Similarly, the Wadge heirarchy is another notion of reducibility by continuous mappings. 
Mar 24 
awarded  Nice Answer 
Mar 24 
answered  Connectedness in the language of pathconnectedness 
Mar 21 
comment 
What algebraic identities does the iteration of forcing operation satisfy?
Miha. I see. I will have to think about this some more and/or rewrite my comments. 
Mar 21 
revised 
What algebraic identities does the iteration of forcing operation satisfy?
added 111 characters in body 
Mar 21 
comment 
What algebraic identities does the iteration of forcing operation satisfy?
@Joel David Hamkins. I see. I attempted to specify that $\phi$ does respect isomorphisms in Boolean algebras, but I was missing a certain formula. Let me edit that. 
Mar 21 
comment 
What algebraic identities does the iteration of forcing operation satisfy?
Andreas Blass. I have added the requirement $ZFC\vdash\exists x\phi(x)$. 
Mar 21 
revised 
What algebraic identities does the iteration of forcing operation satisfy?
added 33 characters in body 
Mar 21 
asked  What algebraic identities does the iteration of forcing operation satisfy? 
Mar 20 
awarded  Yearling 
Mar 18 
awarded  Enlightened 
Mar 18 
awarded  Nice Answer 
Mar 18 
comment 
Images of $\{0,1\}^\kappa$
I corrected the typos. 
Mar 18 
revised 
Images of $\{0,1\}^\kappa$
added 607 characters in body 
Mar 18 
revised 
Images of $\{0,1\}^\kappa$
edited tags 
Mar 18 
answered  Images of $\{0,1\}^\kappa$ 
Mar 14 
revised 
Critical topological spaces
added 992 characters in body 
Mar 14 
revised 
Critical topological spaces
added 992 characters in body 
Mar 13 
answered  Critical topological spaces 