Zobrazeno 1 - 10
of 463
pro vyhledávání: '"Lebesgue covering dimension"'
Autor:
Jacek Świątkowski
Publikováno v:
Algebraic & Geometric Topology. 21:351-420
To any finite graph $X$ (viewed as a topological space) we assosiate some explicit compact metric space ${\cal X}^r(X)$ which we call {\it the reflection tree of graphs $X$}. This space is of topological dimension $\le1$ and its connected components
Autor:
Jan Andres
Publikováno v:
Journal of Differential Equations. 273:1-13
We give a lower estimate of the number of anti-periodic solutions of implicit differential inclusions on tori. Our approach is based on the application of the topological essential fixed point theory, jointly with the Nielsen theory for multivalued a
Publikováno v:
Pacific Journal of Mathematics
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2020, 308 (1), pp.1-40
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2020, 308 (1), pp.1-40. ⟨10.2140/pjm.2020.308.1⟩
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2020, 308 (1), pp.1-40
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2020, 308 (1), pp.1-40. ⟨10.2140/pjm.2020.308.1⟩
We give upper bounds, linear in rank, to the topological dimensions of the Gromov boundaries of the intersection graph, the free factor graph and the cyclic splitting graph of a finitely generated free group.
Comment: 34 pages, 5 figures. Accept
Comment: 34 pages, 5 figures. Accept
Autor:
Anirban Karmakar
Publikováno v:
International Journal of Microwave and Wireless Technologies. 13:173-197
In mathematical definition, a fractal is a self-similar subset of Euclidean space whose fractal dimension strictly exceeds its topological dimension which in turn involves a recursive generating methodology that results in contours with infinitely in
Publikováno v:
2021 5th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT).
The fractal shapes in the nature, their characteristics, also, opinions about fractal dimension are given in this article. The phenomena of geophysical origin of fractal geometric shapes and potential useful tools for describing complex shapes are il
Autor:
A. A. Fortyhin
Publikováno v:
Physical Metallurgy and Heat Treatment of Metals. :64-71
Problem statement. The relevance of the work lies in the development of an approach to the rapid assessment of the mechanical properties of medium-carbon steels for general purposes in the state of factory delivery. To solve this problem, it is propo
Autor:
Xiaotian Pan, Bingzhe Hou
Publikováno v:
Science China Mathematics. 64:963-1010
In this article, we focus on the left translation actions on noncommutative compact connected Lie groups with topological dimension 3 or 4, consisting of ${\rm SU}(2),\,{\rm U}(2),\,{\rm SO}(3),\,{\rm SO}(3) \times S^1$ and ${{\rm Spin}}^{\mathbb{C}}
Autor:
Chris Miller, Philipp Hieronymi
Publikováno v:
Transactions of the American Mathematical Society. 373:849-874
For first-order expansions of the field of real numbers, nondefinability of the set of natural numbers is equivalent to equality of topological and Assouad dimension on images of closed definable sets under definable continuous maps.
Publikováno v:
Engineering Applications of Artificial Intelligence. 85:150-163
Extracting microstructural properties of casting defect regions plays an important role in quality control efforts for casting production. However, it is not easy to extract microstructural properties via the existing extraction strategies because th
Autor:
Hanfeng Li, Bingbing Liang
Publikováno v:
Advances in Mathematics. 353:802-858
Given a length function L on the R-modules of a unital ring R, for each sofic group Γ we define a mean length for every locally L-finite RΓ-module relative to a bigger RΓ-module. We establish an addition formula for the mean length. We give two ap