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location Fiji
age 37
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I'm a lecturer of mathematics at the University of the South Pacific. My research interests are in algebraic topology and metric geometry.


11h
comment Is $(\mathbb{R},\tau_B)$ a separable space?
Hint: What is the closure of the rationals?
1d
comment Why are all convergent sequences necessarily Cauchy?
not all the elements in the sequences need to get close to anything. Only from some $N$ onwards. In general, convergence and Cauchyness are unaffected by changing, or discarding, finitely many elements in the sequence, no matter how large the number of changes you make.
1d
comment interval of convergence of $e^x$
what are you having difficulty with?
1d
answered Why are all convergent sequences necessarily Cauchy?
1d
comment The category of theorems and proofs
is your question how to define this category or are you looking for a mathematical study of this category?
2d
revised Boundedness of continuous functions on compact sets
edited body
2d
answered Boundedness of continuous functions on compact sets
Aug
17
comment May seem like a noob question: really, why can't we divide by 0?
$x/x=1$ only if $x\ne 0$. $0/x=0$ only if $x\ne 0$. Nobody defines $x/0=\infty $ for any value of $x$. Beside, $\infty $ is not a number.
Aug
17
comment Constructing $\mathbb{R}$ from $\mathbb{Q}$ using Cauchy Sequences.
what is your definition of the field $\mathbb R$?
Aug
17
comment Why is the base of an exponential function limited to the set of real numbers greater than zero?
@Nomad any course that defers explaining the madness to a later course is not doing a good job. There is no madness in mathematics and there is no reason to present things is if there is madness with the disclaimer that things will be clarified later on.
Aug
15
comment Is there a name for the function max(x, 0)?
should there be a name for this function? is it important enough to get its own name? is it used often enough to warrant an abbreviation? does it capture something so profound to be worth naming? If you answer any of these question positively, then you can improve your question.
Aug
15
answered Is Banach space a correct context to study sequences and series?
Aug
14
answered Are numbers like $\left ( -2 \right )^{\sqrt{2}}$ real or complex?
Aug
14
comment Does $2+2$ really equal $4$?
For this question to make sense you must specify what you mean by $2$, what you mean by $4$, and what you mean by $+$. Before you do that, you did not actually ask a question.
Aug
13
comment Definition of bounded set in a topological vector space
No, there is not way to express boundedness topologically. This is exactly what you need to do though. Ask yourself what kind of information you need to have in order to speak of boundedness. How would you define boundedness in a topological spaces? try it! you'll see it does not work. Then you will appreciate the definition in a TVS more perhaps.
Aug
13
comment Existence of a metric space M with no continuous map from M to any other metric space
@MPW the need for $Y\ne\emptyset$ is since in the answer a choice of an element in $Y$ is made. You are commenting that "every function $M\to \emptyset$ is continuous" is correct, but is not what OP asked, nor what was answered above.
Aug
13
comment Existence of a metric space M with no continuous map from M to any other metric space
you need to assume $Y$ is not empty.
Aug
13
answered Definition of bounded set in a topological vector space
Aug
12
awarded  Nice Answer
Aug
12
reviewed Approve suggested edit on How to solve these simultaneous equations using any better way?