One of the most important topics of landscape architecture profession is to design highquality open spaces for people to meet their needs and expectation. These open spaces range from smaller-scale residential gardens, used by certain number of people, to large city parks, used by people with different age groups and the crowded masses. These different open spaces and differences in uses lead t...

We investigate powerspace constructions on topological spaces, with a particular focus on the category of quasi-Polish spaces. We show that the upper and lower powerspaces commute on all quasi-Polish spaces, and show more generally that this commutativity is equivalent to the topological property of consonance. We then investigate powerspace constructions on the open set lattices of quasi-Polis...

This paper reports "work in progress" on a project which I've titled, "The Spaces of Transnational Cultures". The aim of the project is to build on, but be methodologically different from, my earlier research on the architecture and urbanism of colonial and postcolonial cities in which the principal objective had been to demonstrate the inherently constitutive relationship between the political...

In this paper, we establish the relationships between spaces with a compact-countable weak-base and spaces with various compact-countable networks, and give two mapping theorems on spaces with compact-countable weakbases. Weak-bases and g-first countable spaces were introduced by A.V.Arhangel’skii [1]. Spaces with a point-countable weak-base were discussed in [5,6], and spaces with a locally co...

Shabir and Naz in [25] introduced the notion of soft topological spaces. They defined basic notions of soft topological spaces such as open soft sets, closed soft sets, soft subspaces, soft closure, soft nbd of a soft point, soft separation axioms, soft regular spaces, soft normal spaces and they established their several properties. Min in [19] investigated some properties of such soft separat...

We prove that for a broad class of spaces X and Y (including all Souslin spaces), every open surjective mapping f : X ! Y induces the open mapping 7 ! f ?1 between the spaces of probability measures P(X) and P(Y). Connections with the Skorohod representation theorem and its generalizations are discussed.

In this paper, using pre-semi-open L-sets and their inequality, a new notion of PS-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This notion does not depend on the structure of the basis lattice L and L does not need any distributivity.

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,...