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453118
bio website sites.google.com/site/…
location Fiji
age 37
visits member for 2 years, 6 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.


Nov
15
answered “Too many” vectors are linearly dependent—can it be generalized to infinite-dimensional spaces?
Nov
15
answered Hamel basis: equivalence of two definitions
Nov
14
comment Finding limit without using L'Hopital rule
how about you do your own homework?
Nov
14
answered Finding limit without using L'Hopital rule
Nov
14
comment What does proving the Riemann Hypothesis accomplish?
I tend to agree with that @bof
Nov
14
comment What does proving the Riemann Hypothesis accomplish?
@bof highly likely, yes. At the very least lots and lots of expert computer scientists will look at the proof in disbelief as it shatters something they really felt very confident about. And, unless the proof will be completely unusable computationally, some really hard to solve problems will be found polynomial solutions.
Nov
13
comment Does every element of the empty list posses every property?
No, the empty list of vectors is not linearly dependent since to be linearly dependent you should be able to express $0$ as a non-trivial linear combination of no vectors. Can you do that? As for the argument that every element on the empty list possesses property $P$, can you show me one that does not?
Nov
13
answered Does every element of the empty list posses every property?
Nov
13
comment How are rational exponents defined in groups?
What makes you think $g^{\frac{n}{m}}$ is defined at all?
Nov
13
answered Show that $E^*\neq \{0\}$ iff $E\neq \{0\}$
Nov
13
comment Show that $E^*\neq \{0\}$ iff $E\neq \{0\}$
what did you try?
Nov
13
answered Automorphism of rational numbers
Nov
12
answered Epimorphisms and monomorphisms in algebra
Nov
12
comment metric characterization for connectedness
@PaulSiegel of course under the hood things will depend on properties of the reals. "Complete and totally bounded" uses the reals, bot not (directly) their completeness or total boundedness. Not to mention the fact that I'd rather not to use the concept of connectedness (of the reals) for defining connectedness for general metric spaces.
Nov
10
comment metric characterization for connectedness
I understand this is somewhat vague. By comparison to the compactness case, the metric characterization (complete and totally bounded) is a more inherently metric property than saying "the image of the metric is complete in $\mathbb R$ with the Euclidean topology". I hope this makes things slightly less vague.
Nov
9
awarded  Nice Answer
Nov
9
answered Why can we work with $[0,1]$ instead of $\mathbb{R}$?
Nov
8
comment metric characterization for connectedness
Thanks for this answer. I'm looking for something that is less dependent on special properties of the reals.
Nov
8
comment metric characterization for connectedness
Thank you, this is helpful, particularly if compactenss can be avoided.
Nov
7
comment Why does zero raised to the power of negative one equal infinity?
You are looking at $1/0$ which is famously undefined. It does not evaluate to $0$ nor to $\infty $.