title: Topologies induced by metrics with disconnected range

authors: Broughan, Kevin A.

abstract: In a metric space (X, d) a ball B(x, ε) is separated if d(B(x, ε), X\B(x, ε)] > 0. If the separated balls form a sub-base for the d-topology then Ind X = 0. The metric is gap-like at x if dx(X) is not dense in any neighbourhood of 0 in [0, ∞). The usual metric on the irrational numbers, P, is the uniform limit of compatible metrics (dn), each dn being gap-like on P. In a completely metrizable space X if each dense Gδ is an Fσ then Ind X = 0. © 1982, Australian Mathematical Society. All rights reserved.

text: Topologies induced by metrics with disconnected range In a metric space (X, d) a ball B(x, ε) is separated if d(B(x, ε), X\B(x, ε)] > 0. If the separated balls form a sub-base for the d-topology then Ind X = 0. The metric is gap-like at x if dx(X) is not dense in any neighbourhood of 0 in [0, ∞). The usual metric on the irrational numbers, P, is the uniform limit of compatible metrics (dn), each dn being gap-like on P. In a completely metrizable space X if each dense Gδ is an Fσ then Ind X = 0. © 1982, Australian Mathematical Society. All rights reserved.

year: 1982

title: Analysis of community structure in Wikipedia

authors: Lizorkin, Dmitry

subjects: computer science

abstract: We present the results of a community detection analysis of the Wikipedia graph. Distinct communities in Wikipedia contain semantically closely related articles. The central topic of a community can be identified using PageRank. Extracted communities can be organized hierarchically similar to manually created Wikipedia category structure.

text: Analysis of community structure in Wikipedia We present the results of a community detection analysis of the Wikipedia graph. Distinct communities in Wikipedia contain semantically closely related articles. The central topic of a community can be identified using PageRank. Extracted communities can be organized hierarchically similar to manually created Wikipedia category structure.

year: 2009

title: Pushing the process: A whānau journey through the Treaty of Waitangi claims process

authors: Harrison, Reece David

subjects: Whanau Claims

abstract: This thesis follows the journey of a Whānau (ngā uri a Arama Whakatau) in its Claim to the Waitangi Tribunal under the Treaty of Waitangi Act 1986. In particular, it looks at inter-Whānau dynamics before, during and after the Claims process. The connections to the claimant area through whakapapa and establishing ahi kaa rights are identified, as are problems faced by lodging a Claim at the Whānau level. Aspects of inter-Whānau, inter-Hapū and inter-iwi politics are considered along with Crown agencies' processes. The primary question posed in the thesis is whether a Whānau Claim is the more appropriate avenue compared to making a Claim through the Hapū or iwi. However, the inter-Whānau dynamics are the core focus of the thesis in this 'warts-and-all' discussion from the perspective of the participant-observer.

text: Pushing the process: A whānau journey through the Treaty of Waitangi claims process This thesis follows the journey of a Whānau (ngā uri a Arama Whakatau) in its Claim to the Waitangi Tribunal under the Treaty of Waitangi Act 1986. In particular, it looks at inter-Whānau dynamics before, during and after the Claims process. The connections to the claimant area through whakapapa and establishing ahi kaa rights are identified, as are problems faced by lodging a Claim at the Whānau level. Aspects of inter-Whānau, inter-Hapū and inter-iwi politics are considered along with Crown agencies' processes. The primary question posed in the thesis is whether a Whānau Claim is the more appropriate avenue compared to making a Claim through the Hapū or iwi. However, the inter-Whānau dynamics are the core focus of the thesis in this 'warts-and-all' discussion from the perspective of the participant-observer.

year: 2007