The Kuratowski–Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is LCn−1&Cn−1 (resp., LCn−1) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension n. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.

Granular computing aims to develop a granular view for interpreting and solving problems. The model of neighborhood rough sets is one of effective tools for granular computing. This model can deal with complex tasks of classification learning. Despite the success of the neighborhood model in attribute reduction and rule learning, it still suffers from the issue of granularity selection. Namely,...

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...

a r t i c l e i n f o Keywords: Foster care Juvenile delinquency Neighborhood characteristics Neighborhood social process This study aims to advance the knowledge base by investigating where foster youth are placed in terms of neighborhood characteristics and whether specific neighborhood characteristics were associated with delinquency for adolescents in the child welfare system. This study fo...

This paper is concerned with scal externalities arising from local taxation of a mobile factor. Using a panel of more 1100 local jurisdictions it provides empirical evidence on how the local tax rate as well as the tax rate in the neighborhood a ect the local tax base. The results support the existence of scal externalities: an increase in the tax rate of local neighbors exerts a positive e ect...

The k-NN graph has played a central role in increasingly popular data-driven techniques for various learning and vision tasks; yet, finding an efficient and effective way to construct k-NN graphs remains a challenge, especially for large-scale high-dimensional data. In this paper, we propose a new approach to construct approximate k-NN graphs with emphasis in: efficiency and accuracy. We hierar...

This article contributes to the knowledge base of neighborhood intervention and research by reviewing the myriad ways the construct neighborhood is operationalized. The interdisciplinary review presents a critical examination of each measurement genre from quantitative to qualitative. The discussion of neighborhood measures includes (a) census and other administrative data, (b) windshield surve...

abstract quality of life is a many-sided and complex concept and includes not only physical aspects of life. measuring and discovering this concept depends on many factors such as cultural, social, economical and even environmental. in this research, the connection between women’s quality of life and their access to public utilities and municipal services, health level and safety level of neigh...