Zum Stufenaufbau des Parallelenaxioms

Euclid 's parallel postulate is shown to be equivalent to the conjunction of the following two weaker postulates: “Any perpendicular to one side of a right angle intersects any perpendicular to the other side” and “For any acute angle Oxy, the segment PQ — where P is a point on O x , Q a point on O y and PQ ⊥ Oy — grows indefinitely, i. e. can be made longer than any given segment”.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43033/1/22_2005_Article_BF01226859.pd

La Patrie : journal quotidien, politique, commercial et littéraire

06 janvier 18691869/01/06 (A29)

Colombo Focus City Project : data brief; 2009 quarter 1

This Data Brief focuses on perceptions of wellbeing of Under-served Settlement (USS) households as well as income and expenditure patterns, and satisfaction regarding access to existing service provision. It provides an introduction to the Baseline Survey sampling, providing information on environmental burdens that are linked to limited service provision, including sewerage and solid waste management facilities and their impact on poverty. The Colombo (Sri Lanka) study uses water and sanitation as an entry-point to develop a model of participatory service provision that addresses how best to deliver different types of urban services to the urban poor

Measurability in modules

In this paper we prove that in modules, MS-measurability (in the sense of Macpherson–Steinhorn) depends on being able to define a measure function on the p.p. definable subgroups. We give a classification of abelian groups in terms of measurability. Finally we discuss the relation with TeX -valued measures