40,976 reputation
452118
bio website sites.google.com/site/…
location Fiji
age 37
visits member for 2 years, 6 months
seen 32 mins 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
3
comment Is area under an integral limit exact or an approximation?
One should never write $n=\infty $ in this context. It is nonsensical since $\infty $ is not a natural number.
Nov
3
answered Is area under an integral limit exact or an approximation?
Nov
1
comment metric characterization for connectedness
@NajibIdrissi I'm looking for a metric property, just like the one for compactness I mention above.
Nov
1
comment 1. Given a group homomorphism $\psi: A_{8}\rightarrow S_{9}$ for which exists $\sigma\in A_{8}$ with $\psi(\sigma)=(12)$
@Lynnie ask yourself: is the given psi trivial?
Nov
1
answered 1. Given a group homomorphism $\psi: A_{8}\rightarrow S_{9}$ for which exists $\sigma\in A_{8}$ with $\psi(\sigma)=(12)$
Nov
1
asked metric characterization for connectedness
Oct
31
answered Is it possible to define a homomorphism from a lattice to a poset?
Oct
31
answered Why is $\emptyset$ a subset of every set?
Oct
31
comment Why is $\emptyset$ a subset of every set?
OP was asking what is wrong with his argument for what seems to use the same logic rule, but yields something incorrect. OP said to be aware of vacuous proofs, and not to have any issues with that. The current answer simply restates the logical rule of vacuous implication. It does not address the question OP posed.
Oct
30
comment Given any computable number, is there any algorithm to decide whether it is transcendental?
Just to clarify that I gave this answer before OP clarified the notion of computable. Hence the slightly reserved tone in the answer.
Oct
30
answered Group Homomorphism and injective
Oct
29
comment Open mapping theorem in complex analysis - an edge case
ah, yes, I meant 'entire' instead of 'holomorphic'.
Oct
29
comment Open mapping theorem in complex analysis - an edge case
OP's domain is $\mathbb C$.
Oct
29
comment Open mapping theorem in complex analysis - an edge case
a holomorphic function is constant iff it is constant on some non-empty open set.
Oct
29
comment Why *formal* linear combination?
just ask yourself "linear combinations in which vector space?". Your answer will have to be: the linear space of formal linear combinations of certain symbols. In other words, a free vector space.
Oct
29
answered Given any computable number, is there any algorithm to decide whether it is transcendental?
Oct
29
comment Determine whether $\phi$ is a homomorphism
sorry, it should have been a plus. Corrected.
Oct
29
revised Determine whether $\phi$ is a homomorphism
edited body
Oct
29
answered Determine whether $\phi$ is a homomorphism
Oct
29
comment invertible ring r -1
(+1) always opt for the simplest explanation!