in this paper, the concept of {sl local base with  stratifiedstructure} in $i$-topological vector spaces is introduced. weprove that every $i$-topological vector space has a balanced localbase with stratified structure. furthermore, a newcharacterization of $i$-topological vector spaces by means of thelocal base with stratified structure is given.

In this paper, the concept of {sl local base with  stratifiedstructure} in $I$-topological vector spaces is introduced. Weprove that every $I$-topological vector space has a balanced localbase with stratified structure. Furthermore, a newcharacterization of $I$-topological vector spaces by means of thelocal base with stratified structure is given.

Proof. There exists an open neighborhood W of xgcb such that clsWCZ U, where els W denotes the closure of W. Let [ATjfc|fe = l, 2, • • • ] be a neighborhood base at ~1 which is closed. Moreover WEW, i.e. 4>UxEW. Thus there exists k such that ATJItCWCcls W. Hence xECk. Now from WlCU...

Given a collection C of partitions of a base set S, the NP-hard Consensus Clustering problem asks for a partition of S which has a total Mirkin distance of at most t to the partitions in C, where t is a nonnegative integer. We present a parameterized algorithm for Consensus Clustering with running time O(4.24 ·k+ |C| · |S|), where k := t/|C| is the average Mirkin distance of the solution partit...

the neighborhood has had a long history in iranian urbanization. since urban plans wereintroduced by the authorities to shape urban development in iran half a century ago, the concept of iranian traditional neighborhood has been neglected gradually. the concept of neighborhood has not found the appropriate status in urban design and planning yet. one of the main reasons is that academics, profe...

A space X is D if for every assignment, U, of an open neighborhood to each point x in there a closed discrete such that ⋃{U(x):x∈D}=X. The box product, □Xω, Xω with topology generated by all ∏nUn, where Un open. nabla ∇Xω, obtained from □Xω quotienting out mod-finite. weight X, w(X), the minimal size base, while d=cofωω. It shown are specific compact spaces and ∇Xω not D, but general: (1) hered...

The purposes of this study were to examine perceptions of places to play and be physically active among children from two different urban neighborhoods, and evaluate these perceptions for age-related developmental differences. One hundred and sixty-eight children from grades K-6 (aged 6-12 years old) completed mental maps depicting places where they could play and be physically active. The chil...

It is shown that certain weak-base structures on a topological space give a D-space. This solves the question by A.V. Arhangel’skii of when quotient images of metric spaces are D-spaces. A related result about symmetrizable spaces also answers a question of Arhangel’skii. Theorem. Any symmetrizable space X is a D-space (hereditarily). Hence, quotient mappings, with compact fibers, from metric s...

The neighborhood has had a long history in Iranian urbanization. Since urban plans wereintroduced by the authorities to shape urban development in Iran half a century ago, the concept of Iranian traditional neighborhood has been neglected gradually. The concept of neighborhood has not found the appropriate status in urban design and planning yet. One of the main reasons is that academics, profe...

The paper presents an analytical framework for elucidating the equity and social efficiency criteria that might be used to justify a housing policy aiming for a substantial mix of neighborhood residents by income, ethnicity, and/or immigrant status. This framework permits the classification of multivariate statistical studies comprising the Western European evidence base and shows the importanc...