Every open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F0, F1 ⊂ X , with f(F0) = Y = f(F1), provided all fibers of f are infinite and C∗-embedded in X . Applications are demonstrated for the existence of “disjoint” usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and for special type of factorizations of open co...

One of the problems that planners face currently is the difficulty in finding appropriate guidelines for organizing public open spaces in urban areas. This invokes the need to create a system tool to describe and guide the planning of such components of the urban space. This research explores the problems related to the description and the location of public open spaces, and defines a system th...

We show that the first order theory of the lattice of open sets in some natural topological spaces is m-equivalent to second order arithmetic. We also show that for many natural computable metric spaces and computable domains the first order theory of the lattice of effectively open sets is undecidable. Moreover, for several important spaces (e.g., Rn, n ≥ 1, and the domain Pω) this theory is m...

In this paper the concept of finitistic spaces in L-topological spaces is introduced by means of α-Q-covers of open Lsubsets. Also a characterization of finitistic spaces in the weakly induced L-topological spaces is obtained. Moreover the behavior of finitistic spaces under various types of maps such as fuzzy perfect maps is also investigated. 48 T. Baiju and Sunil Jacob John

In this paper, we describe the spaces of stability conditions on the triangulated categories associated to three dimensional crepant small resolutions. The resulting spaces have chamber structures such that each chamber corresponds to a birational model together with a special Fourier-Mukai transform. We observe these spaces are covering spaces over certain open subsets of finite dimensional ve...

In this paper, spaces with σ-locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or g-first countable spaces with σ-locally countable cs-networks). To find the internal characterizations of certain images of metric spaces is an interesting research topic on general topology. Recently, S. Xia introduced the concept of weakly open mappings, by using it,...

Urban space can be the most successful public arena in this century if employ the potentialsfor collective cooperation in creative ways in order to provide further services. The theory of creative city tries tostrengthen the qualities which enhance the image of a city for the citizens and create a dynamic city in terms of cultureand intercultural learning. Therefore, the existence of generator,...

Topological sequential spaces are the fixed points of a Galois correspondence between collections of open sets and sequential convergence structures. The same procedure can be followed replacing open sets by other topological concepts, such as closure operators or (ultra)filter convergences. The fixed points of these other Galois correspondences are not topological spaces in general, but they c...

the aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. in [1], ungar and chen showed that the algebra of the group sl(2,c) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the lorentz group and its underlying hyperbolic geometry. they defined the chen addition and then chen model of hyperbolic geometry. in this paper,...

This study is a field research that aims to determine the extent of green open spaces that serve asneighborhood parks in Housing Public Company Panakkukang, which consists of three areas: Toddopuli, Tidung,and Tamalate. Population in this study, is the third of the areas. The selected sample is Tamalate, arguing that thearea is in the middle and is central to the whole Housing Public Company Pa...