IJPAM: Volume 66, No. 4 (2011)

VOLUME IN EUCLIDEAN SPACES

Gheorghe Chivu
``Dimitrie Cantemir" University of Târgu Mures
3-5, Bodoni Sándor Street, 540 500, ROMANIA
e-mail: [email protected]


Abstract.Structuralism in mathematics is now a maturity method, describing itself as a powerful tool for ordering and classifying the basic knowledge of mathematical objects. After it mostly exhausted the study of structures as such, current mathematics witnesses a return to a basic model, with the rebirth of interest for the very practical. In addition, in cases of particular areas, many results that cannot be extended to the general structural can take place. On the other hand, results in the general structure can be obtained in specific areas through more natural methods, taking into account the particularities of these spaces.

Received: December 10, 2010

AMS Subject Classification: 31D05, 60J45

Key Words and Phrases: compact sets, volume, basis of compact neighborhoods, $\mu$-division

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 66
Issue: 4