Since $N^3 \neq 0$, it follows that the minimal polynomial of $N$ is $z^4$. _Exercise 2_ Similarly, the characteristic polynomial is $z^6$ and a quick computation ...

We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings. The ...

We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

Abstract In this paper, we introduce the concept of a weak q-distance and for this distance we derive a set-valued version of Ekeland's variational principle in the setting of uniform spaces. By using ...

…while it is quite interesting that the “K-theory” of Baez-Crans 2-vector bundles is K × K K \times K and that of Kapranov-Voevodsky is BDR-2K, the original hope was that there is a kind of 2-vector ...