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bio website sites.google.com/site/…
location Fiji
age 37
visits member for 2 years, 5 months
seen 3 hours ago

I'm a lecturer of mathematics at the University of the South Pacific. My research interests are in algebraic topology and metric geometry.


Oct
8
comment If $ y \in [0,1] \times [0,1]$, is $[0,1] \times [0,1]-y$ connected?
it would seem OP was asking about how to prove a particular space is (path) connected, not for the general proof that path-connectivity implies connectivity.
Oct
8
comment If $ y \in [0,1] \times [0,1]$, is $[0,1] \times [0,1]-y$ connected?
basically yes, but you try to explain (i.e., find a theorem) that makes this manifestly impossible. Intuitively, you are correct, being (path) connected is something that is preserves under homeomorphisms (i.e., it is a topological invariant).
Oct
8
answered If $ y \in [0,1] \times [0,1]$, is $[0,1] \times [0,1]-y$ connected?
Oct
7
comment Linear Algebra - eigenvalue and eigenvectors
@JaVaPG see my edit to the answer.
Oct
7
revised Linear Algebra - eigenvalue and eigenvectors
added 257 characters in body
Oct
7
answered Linear Algebra - eigenvalue and eigenvectors
Oct
6
comment Two abelian groups with the same order are isomorphic?
don't forget to explain your answer when you submit your homework. Giving the right answer without explanation does not count for much.
Oct
6
comment How to explain why 10/0 is an okay grade book entry?
what would be a good thing @EdwardJiang ?
Oct
6
comment How to explain why 10/0 is an okay grade book entry?
you simply overloaded the symbol '/'. It's perfectly fine as long as context clarifies the situation, which in this case it certainly does. Those students who don't see the clarity of this issue should perhaps not be awarded any extra points, and thus get $0/0$, and then they can complain that that is undefined. In which case, you can reply that if they continue their final mark will also be undefined.
Oct
5
answered Is there any function that is not continuous on it entire domain?
Oct
5
comment Prove a complement of a union and intersection of two sets?
Venn diagrams never constitute a proof. They are an intuitive tool.
Oct
5
answered Prove a complement of a union and intersection of two sets?
Oct
5
answered How is a complete lattice defined solely by a least-upper bound?
Oct
5
revised What is the average of no numbers?
added 1 character in body
Oct
5
comment Do continuous curves (considered as a subset or subspace) in $\mathbb{R}^2$ contain open sets?
"Open sets in $\mathbb R^2$ are unit disks with the boundary removed" is incorrect. Certainly not every open set is of that form.
Oct
5
answered Do continuous curves (considered as a subset or subspace) in $\mathbb{R}^2$ contain open sets?
Oct
3
comment A valid proof for the invariance of domain theorem?
ignoring the proof of the sub-theorem, how do you intend to use it to prove the invariance of domain theorem?
Oct
3
comment What Field of Probability Deals With The Following
There are plenty of books on mathematical economy/actuarial sciences. Actuarial sciences is probably more likely to be less technical than mathematical economy.
Oct
3
comment Quick and painless definition of the set of real numbers
How does that answer OP's question?
Oct
3
answered What Field of Probability Deals With The Following