scholarly journals Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces

2019 ◽  
Vol 12 (1) ◽  
pp. 105-117
Author(s):  
Michel L. Lapidus ◽  
◽  
Goran Radunović ◽  
Darko Žubrinić ◽  
Keyword(s):  
Euclidean Spaces ◽  
Tube Formulas ◽  
Compact Subsets

On computably locally compact Hausdorff spaces

2009 ◽  
Vol 19 (1) ◽  
pp. 101-117
Author(s):  
YATAO XU ◽  
TANJA GRUBBA
Keyword(s):  
Metric Spaces ◽  
Euclidean Spaces ◽  
Hausdorff Spaces ◽  
Specific Kind ◽  
Locally Compact ◽  
Complete Investigation ◽  
Infinite Sequences ◽  
Compact Subsets

Locally compact Hausdorff spaces generalise Euclidean spaces and metric spaces from ‘metric’ to ‘topology’. But does the effectivity on the latter (Brattka and Weihrauch 1999; Weihrauch 2000) still hold for the former? In fact, some results will be totally changed. This paper provides a complete investigation of a specific kind of space – computably locally compact Hausdorff spaces. First we characterise this type of effective space, and then study computability on closed and compact subsets of them. We use the framework of the representation approach, TTE, where continuity and computability on finite and infinite sequences of symbols are defined canonically and transferred to abstract sets by means of notations and representations.

ON INTRINSIC ISOMETRIES AND RIGID SUBSETS OF EUCLIDEAN SPACES

1989 ◽  
Vol 22 (4) ◽  
Author(s):  
Irmina Herburt
Keyword(s):  
Euclidean Spaces

scholarly journals Ancient solutions for Andrews’ hypersurface flow

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Peng Lu ◽  
Jiuru Zhou
Keyword(s):  
Ricci Flow ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Euclidean Spaces ◽  
Round Cylinder ◽  
Ancient Solutions ◽  
Singular Time

AbstractWe construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994.As time {t\rightarrow 0^{-}} the solutions collapse to a round point where 0 is the singular time. But as {t\rightarrow-\infty} the solutions become more and more oval. Near the center the appropriately-rescaled pointed Cheeger–Gromov limits are round cylinder solutions {S^{J}\times\mathbb{R}^{n-J}}, {1\leq J\leq n-1}. These results are the analog of the corresponding results in Ricci flow ({J=n-1}) and mean curvature flow.

scholarly journals Equiangular lines in Euclidean spaces

2016 ◽  
Vol 138 ◽  
pp. 208-235 ◽  
Author(s):  
Gary Greaves ◽  
Jacobus H. Koolen ◽  
Akihiro Munemasa ◽  
Ferenc Szöllősi
Keyword(s):  
Euclidean Spaces ◽  
Equiangular Lines

scholarly journals Comment on “Packing hyperspheres in high-dimensional Euclidean spaces”

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
Francesco Zamponi
Keyword(s):  
High Dimensional ◽  
Euclidean Spaces

scholarly journals On embedding of graphs into euclidean spaces of small dimension

1992 ◽  
Vol 56 (1) ◽  
pp. 1-8 ◽  
Author(s):  
J Reiterman ◽  
V Rödl ◽  
E S̆in̆ajová
Keyword(s):  
Small Dimension ◽  
Euclidean Spaces

Recurrent sequences and endomorphisms of Euclidean spaces

1994 ◽  
Vol 63 (1) ◽  
pp. 92-96
Author(s):  
Lutz Lucht ◽  
Cordelia Methfessel
Keyword(s):  
Euclidean Spaces ◽  
Recurrent Sequences
Sign in / Sign up

Export Citation Format

Share Document