Some properties of the operator of the measure extension

On Negligible and Absolutely Nonmeasurable Subsets of the Euclidean Plane

Georgian Mathematical Journal ◽

10.1515/gmj.2004.479 ◽

2004 ◽

Vol 11 (3) ◽

pp. 479-487

Author(s):

A. Kharazishvili

Keyword(s):

Euclidean Plane ◽

Identity Transformation ◽

Extension Problem ◽

Measure Extension ◽

Nonmeasurable Set

Abstract The notions of a negligible set and of an absolutely nonmeasurable set are introduced and discussed in connection with the measure extension problem. In particular, it is demonstrated that there exist subsets of the plane 𝐑2 which are 𝑇2-negligible and, simultaneously, 𝐺-absolutely nonmeasurable. Here 𝑇2 denotes the group of all translations of 𝐑2 and 𝐺 denotes the group generated by {𝑔} ∪ 𝑇2, where 𝑔 is an arbitrary rotation of 𝐑2 distinct from the identity transformation and all central symmetries of 𝐑2.

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Some new results on measure extension

Measure Theory Oberwolfach 1981 - Lecture Notes in Mathematics ◽

10.1007/bfb0096660 ◽

1982 ◽

pp. 15-23 ◽

Cited By ~ 1

Author(s):

Dieter Bierlein

Keyword(s):

Measure Extension

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PROVISION OF EMPLOYEES’ HEALTH - A NECESSARY ELEMENT OF CORPORATE SOCIAL RESPONSIBILITY IN RUSSIA

Business Strategies ◽

10.17747/2311-7184-2018-3-03-06 ◽

2018 ◽

pp. 03-06

Author(s):

N. S. Zemlianukhina

Keyword(s):

Corporate Social Responsibility ◽

Social Responsibility ◽

Healthy Lifestyle ◽

Health Condition ◽

Measure Extension ◽

Support Measure ◽

Healthy Lifestyle Promotion ◽

Health Support ◽

Corporate Social Responsibility Implementation ◽

Corporate Social

The paper studies some opportunities of corporate social responsibility implementation that may improve Russian population’s health. The study shows such employees’ health support problems as ecological, organizational and social problems as well as economic, financial and informational issues. The analysis of the companies’ CSR including employees’ health increase measures has been given in the article. The paper also provides a way of employees’ health support measure extension by modern and traditional therapeutic techniques. The article explains the necessity to add CSR units that will provide employees not only with treatment but ill-health prevention, healthy lifestyle promotion and independent researches on the therapeutic measure influence on health condition, production and working efficiency rates. These studies are offered to be carried out by labor economics specialists.

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