If we consider some special conditions, we can assume fundamental group of a topological space as a new topological space. In this paper, we will present a number of theorems in topological fundamental group related to semilocally simply connected property for a topological space.

Nowadays space is considered to be a net of connections between different areas. The questions how to delineate its character and how it is possible to objectively compare two spaces is a matter under consideration. This was the reason for creating new theories about the structure of space. Space syntax analysis (SSA) or simply Space Syntax defines a number of theories and research areas devo...

In this paper, the gradual real numbers are considered and the notion of the gradual normed linear space is given. Also some topological properties of such spaces are studied, and it is shown that the gradual normed linear space is a locally convex space, in classical sense. So the results in locally convex spaces can be translated in gradual normed linear spaces. Finally, we give an examp...

The advent of modernity in Iran weakened many structures and practices, including social hangouts in cities; therefore, the public was cynical about this space. While hangouts, as a third-place and public space in a city, promote social capital, vibrant centers, and citizenship education, Tehran Daneshjoo Park, as a public space with an urban scale and physical and social features, can also be ...

Culture and social relations play a significant role in the formation of the structure of vernacular housing of any region, especially in the Islamic countries where privacy has a considerable effect on the vernacular culture, and consequently, on the house’s structure. Among the house spaces, the kitchen is more affected than other spaces by such issues so that its relations pattern with other...

in this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is riesz space valued. we prove some common fixed point theorems for three mappings in this space. obtained results extend and generalize well-known comparable results in the literature.

in this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $c(x)$ and the same of $c(y)$, for some special subset $y$ of $x$. for instance, if $y=coz(f)$ for some $fin c(x)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $c(y)$ and the set of prime $z$-ideals of $c(x)$ not containing $f$. moreover, c...

We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity. Finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.A pseudo-Riemannian submanifold M in (a...

during a very long period of time, civil engineers have been the only ones to be designated as the experts for underground space, while the planners and architects were the ones of the development at the surface. cities worldwide tend to overlook an invaluable asset that lies beneath their surfaces. most cities and urban regions are unaware of the benefits underground space use has to offer, bo...