3 citations · 8 across the 4 of their papers we have counts for
5 papers
On generalized -continua
A. Karassev, P. Krupski, V. Todorov +1
The notion of a -continuum was introduced by Alexandroff \cite{ps} as a generalization of the concept of -manifold. In this note we consider the cohomological analogue of $…
Alexandroff type manifolds and homology manifolds
V. Todorov, V. Valov
We introduce and investigate the notion of (strong) -manifolds, where is an abelian group. One of the result related to that notion (Theorem 3.4) implies the following p…
Alexandroff Manifolds and Homogeneous Continua
Alexandre Karassev, Vladimir Todorov, Vesko Valov
We prove the following result announced in Todorov and Valov: Any homogeneous, metric -continuum is a -continuum provided and …
Generalized Cantor manifolds and indecomposable continua
V. Todorov, V. Valov
We review results concerning homogeneous compacta and discuss some open questions. It is established that indecomposable continua are Alexandroff (resp., Mazurkiewicz, or strong Ca…
Generalized Cantor manifolds and homogeneity
A. Karassev, P. Krupski, V. Todorov +1
A classical theorem of Alexandroff states that every -dimensional compactum contains an -dimensional Cantor manifold. This theorem has a number of generalizations obtaine…