Box and packing dimensions of projections and dimension profiles

Autor:	J. D. Howroyd
Rok vydání:	2001
Předmět:	Combinatorics Packing dimension Dimension (vector space) Projection (mathematics) General Mathematics Type (model theory) Measure (mathematics) Linear subspace Connection (mathematics) Mathematics
Zdroj:	Mathematical Proceedings of the Cambridge Philosophical Society. 130:135-160
ISSN:	1469-8064 0305-0041
DOI:	10.1017/s0305004100004849
Popis:	For E a subset of ℝn and s ∈ [0, n] we define upper and lower box dimension profiles, B-dimsE and B-dimsE respectively, that are closely related to the box dimensions of the orthogonal projections of E onto subspaces of ℝn. In particular, the projection of E onto almost all m-dimensional subspaces has upper box dimension B-dimmE and lower box dimension B-dimmE. By defining a packing type measure with respect to s-dimensional kernels we are able to establish the connection to an analogous packing dimension theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6ed8d8cd4571b19bca8a78ca310314e8 https://doi.org/10.1017/s0305004100004849 Zobrazit plný text záznamu