Gähler's neighborhood condition for lattice-valued convergence spaces

2012 ◽  
Vol 204 ◽  
pp. 27-39 ◽  
Author(s):  
Gunther Jäger
Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 228 ◽  
Author(s):  
Lingqiang Li

In this paper, p-topologicalness (a relative topologicalness) in ⊤-convergence spaces are studied through two equivalent approaches. One approach generalizes the Fischer’s diagonal condition, the other approach extends the Gähler’s neighborhood condition. Then the relationships between p-topologicalness in ⊤-convergence spaces and p-topologicalness in stratified L-generalized convergence spaces are established. Furthermore, the lower and upper p-topological modifications in ⊤-convergence spaces are also defined and discussed. In particular, it is proved that the lower (resp., upper) p-topological modification behaves reasonably well relative to final (resp., initial) structures.


2020 ◽  
pp. 088740342098080
Author(s):  
Lin Liu ◽  
Christy A. Visher ◽  
Dayu Sun

As the United States enters a decarceration era, the factors predicting reentry success have received a rapidly growing body of research attention. Numerous studies expand beyond individual-level attributes to assess the contextual effect of neighborhoods to which released prisoners return. However, past studies predominantly used neighborhood structural/economic characteristics as the proxies of neighborhood context, leaving the roles of community cohesion and disorder understudied in the context of reentry. Using longitudinal data, this study examines the influence of neighborhood cohesion and disorder on reentry outcomes, represented by released prisoners’ determination to desist and social isolation. The results of linear regression analyses show that net of the effects of individual-level risk factors, released prisoners’ perception of neighborhood disorder exhibit profound influence on reentry outcomes. Implications for reentry programming and interventions are presented.


1993 ◽  
Vol 61 (3-4) ◽  
pp. 195-201 ◽  
Author(s):  
D. Dikranjan ◽  
E. Giuli
Keyword(s):  

1987 ◽  
Vol 10 (2) ◽  
pp. 209-216
Author(s):  
D. C. Kent ◽  
Reino Vainio

A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure onX. Howover, there are two natural ways to derive the former structures from the latter, leading to “strong” and “weak” notions of order compatibility for Cauchy spaces. These in turn lead to characterizations of strong and weak order compatibility for convergence spaces.


Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 544-553 ◽  
Author(s):  
Wei Gao ◽  
Yunqing Zhang ◽  
Yaojun Chen

Abstract In data transmission networks, the availability of data transmission is equivalent to the existence of the fractional factor of the corresponding graph which is generated by the network. Research on the existence of fractional factors under specific network structures can help scientists design and construct networks with high data transmission rates. A graph G is named as an all fractional (g, f, n′, m)-critical deleted graph if the remaining subgraph keeps being an all fractional (g, f, m)-critical graph, despite experiencing the removal of arbitrary n′ vertices of G. In this paper, we study the relationship between neighborhood conditions and a graph to be all fractional (g, f, n′, m)-critical deleted. Two sufficient neighborhood conditions are determined, and furthermore we show that the conditions stated in the main results are sharp.


2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ting Yang ◽  
Sheng-Gang Li ◽  
William Zhu ◽  
Xiao-Fei Yang ◽  
Ahmed Mostafa Khalil

An L , M -fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L -filter (of crisp degree) on X to be convergent to a molecule in L X . By means of L , M -fuzzy topological neighborhood operators, we show that the category of L , M -fuzzy topological convergence spaces is isomorphic to the category of L , M -fuzzy topological spaces. Moreover, two characterizations of L -topological spaces are presented and the relationship with other convergence spaces is concretely constructed.


1968 ◽  
Vol 18 (4) ◽  
pp. 569-588
Author(s):  
Karel Wichterle
Keyword(s):  

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