Search
Search Results
-
Sequence-covering maps on submetrizable spaces
A topological space is called submetrizable if it can be mapped onto a metrizable topological space by a continuous one-to-one map. In this paper we...
-
Space Exploration: Partial Covering and Quantization
The main developments in this chapter are:...
-
Some aspects of countability and covering properties in mixed fuzzy topological space
Mixed fuzzy topological space is one of the major developments in topological spaces. Tripathy and Ray (Soft Comput 16(10):1691–1695, 2012) developed...
-
Normal Covering Spaces with Maximal Bottom of Spectrum
We study the property of spectral-tightness of Riemannian manifolds, which means that the bottom of the spectrum of the Laplacian separates the...
-
Flows and Covering Spaces
The thesis of this book is that covering spaces provide a suitable modern setting for a unified presentation of the structure of flows on compact...
-
Lower Bound on Translative Covering Density of Tetrahedra
In this paper, we present the first nontrivial lower bound on the translative covering density of tetrahedra. To this end, we show the lower bound,...
-
On the Steklov spectrum of covering spaces and total spaces
We show the existence of a natural Dirichlet-to-Neumann map on Riemannian manifolds with boundary and bounded geometry, such that the bottom of the...
-
Covering Array on the Cartesian Product of Hypergraphs
Covering array (CA) on a hypergraph H is a combinatorial object used in interaction testing of a complex system modeled as H . Given a t -uniform...
-
Covering Spaces
At this stage we are only able to show that certain spaces are simply connected: normally it’s quite difficult to prove directly the existence of...
-
Saturating systems and the rank-metric covering radius
We introduce the concept of a rank-saturating system and outline its correspondence to a rank-metric code with a given covering radius. We consider...
-
Worst-Case Optimal Covering of Rectangles by Disks
We provide the solution for a fundamental problem of geometric optimization by giving a complete characterization of worst-case optimal disk...
-
Vitali covering theorem: from crystals to turbulence
We propose some crystalline materials showing a strong correspondence with a construction by Ball and Murat for elastostatic problems. Such a...
-
A characterization of Banach spaces containing ℓ1(κ) via ball-covering properties
In 1989, G. Godefroy proved that a Banach space contains an isomorphic copy of ℓ 1 if and only if it can be equivalently renormed to be octahedral. It...
-
Covering Codes of a Graph Associated with a Finite Vector Space
We study the problem of covering of the vertices of a graph associated with a finite vector space introduced by Das [Comm. Algebra, 44, 3918–3926...
-
The covering radius of permutation designs
A notion of t -designs in the symmetric group on n letters was introduced by Godsil in 1988. In particular, t -transitive sets of permutations form a t -...
-
The Concept of Modeling Packing and Covering Problems Using Modern Computational Geometry Software
A class of geometric packing and covering problems is considered. A new concept of their mathematical modeling using a special class of functions is...
-
Covering Map**s Acting into Normed Spaces and Coincidence Points
AbstractWe study the solvability of an equation generated by a map** acting from a metric space into a normed space. For the radii of balls lying...