In this paper connected operators from mathematical morphology are extended to a wider class of operators, which are based on connectivities in higher dimensional spaces, similar to scale spaces, which will be called attribute-spaces. Though some properties of connected filters are lost, granulometries can be defined under certain conditions, and pattern spectra in most cases. The advantage of ...

In this study, we introduce the concept of neutrosophic connectedness and give some its characterizations. Addition- ally, present product space show that type is not preserved under spaces. We also notions super-connected spaces, strongly connected spaces study their properties.

We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.

We show that doubling, linearly connected metric spaces are quasiarc connected. This gives a new and short proof of a theorem of Tukia.

The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some i...

introduction in this paper, a new approach is applied to explain inner interactions in architectural spaces. this approach is recently used in urban design. it has also been used in architecture in this essay to consider the application of mosques_ madrasah in qazvin. this city as instances of salehich and madreseh is proving the interactions between the spaces of masjed-madresse in ghajari maj...

In this paper, we study CAT(0) spaces with nonlocally connected boundary. We give some condition of a CAT(0) space whose boundary is not locally connected.

This paper is to serve as an introduction to the study of symmetric spaces, with the goal of describing Hermitian symmetric spaces of noncompact type. There are three basic types of symmetric space: compact, noncompact, and Euclidean, defined in terms of properties of g, the Lie algebra of its group of isometries. It turns out that a simply connected symmetric space can be described completely ...

It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an Fσ-subset of a “smaller” dimension. The result applies to different finite or infinite topological dimensions of metrizable spaces. The classical Hurewicz-Menger-Tumarkin theorem in dimension theory says that connected topological n-manifolds (with or without boundary) are Cantor manifo...