In this paper, we study certain properties of digital H-spaces. We prove that a digital image
that has the same digital homotopy type with any digital H-space is also a digital H-space …

The intersection of topological robotics and digital topology leads to us a new workspace. In
this paper we introduce the new digital homotopy invariant digital topological complexity …

[EN] Y. Rudyak develops the concept of the topological complexity TC (X) defined by M.
Farber. We study this notion in digital images by using the fundamental properties of the …

This work aims to define the concept of manifold, which has a very important place in the
topology, on digital images. So, a general perspective is provided for two and three …

In this paper, we consider the digital cohomology modules of a digital image consisting of a
bounded and finite subset of Z n and an adjacency relation. We construct a contravariant …

The main purpose of this work is to review different models used in image restoration over
time. We start with the first classic model of Tikhonov to which progressive changes are …

We extend some basic results from the singular homology theory of topological spaces to
the setting of\v {C} ech's closure spaces. We prove analogues of the excision and Mayer …

We prove analogues of fundamental results from algebraic topology in the setting of Cech's
closure spaces. For a singular homology theory of closure spaces we prove analogues of …

Digital topology has its own working conditions and sometimes differs from the normal
topology. In the area of topological robotics, we have important counterexamples in this …

In this paper, we construct the smash product from the digital viewpoint and prove some its
properties such as associativity, distributivity, and commutativity. Moreover, we present the …