  The book is devoted to study so-called irregular subsets of the Grassmannian
manifold $G^{n}_{k}(V)$ (this class of sets was introduced by author). In the
previous variant of the book we restrict ourself only to the case when $V$ is
an $n$-dimensional vector space under the field $R$. Now we consider irregular
subsets of $G^{n}_{k}(V)$, where $V$ is an $n$-dimensional vector space under
arbitrary field.
