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79 008 (0,095s)

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Productivity numbers in topological spaces

Cardinal numbers are described at which productivity of certain classes of topological spaces jumps to a new value. They coincide with submeasurable cardinals....

BA - Obecná matematika

  • 2005
  • Jx
Result

Topological lower bounds for the chromatic number: A hierarchy

We compare and analyze existing topological proofs of Kneser's conjecture and general lower bounds for the chromatic number of graphs implied by them. We show that these lower bounds are ordered almost linearly by strength....

BA - Obecná matematika

  • 2004
  • Jx
Result

On a topology on the grid

A topology is defined on the set of lattice points with integer coefficients. Topological properties are investigated using number theoretic tools......

BA - Obecná matematika

  • 2000
  • D
Result

Enumeration of simple complete topological graphs

We prove that the number of isomorphism classes of simple complete topological graphs on n vertices is 2^{Theta(n^4)}. We also show that the number of weak isomorphism classes of simple complete topological graphs ...

BA - Obecná matematika

  • 2009
  • Jx
Result

Enumeration of simple complete topological graphs

We determine lower and upper bounds on the number of isomorphism and weak isomorphism classes of simple complete topological graphs.

BA - Obecná matematika

  • 2007
  • Jx
Result

Random Topology Generator

Random Topology Generator uses the Wolfram Mathematica internal generator of pseudo-random numbers for simulation of random choice of a topology on a given finite set. The implemented algorithm ensures that all choices of e...

BA - Obecná matematika

  • 2013
  • R
  • Link
Result

Topological entropy for impulsive differential equations

Nielsen number (which is in difference to topological entropy a homotopy invariant) can be used there effectively for the lower estimate of topological entropyA positive topological entropy is examined for impulsi...

Pure mathematics

  • 2020
  • Jimp
  • Link
Result

Application of Passive Optical Network with Optimized Bus Topology for Local Backbone Data Network

This article proposes an innovative application of passive optical networks with optimized bus topology for local backbone data networks. We present mathematical apparatus for calculating of the maximum number of splits and the ...

JA - Elektronika a optoelektronika, elektrotechnika

  • 2011
  • Jx
  • Link
Result

Thermodynamic topology of Kerr-Sen black holes via Renyi statistics

. Interestingly, although the nonextensive parameter lambda changes the topological number consistent under both GB and Renyi statistics. In addition, the topological numbersIn the present study, we investigate the...

Astronomy (including astrophysics,space science)

  • 2024
  • Jimp
  • Link
Result

Prague Topological Symposium TOPOSYM 2011

Prague Topological Symposium, known as TOPOSYM is organized in Prague since 1961 in five year cycles.The conference program covered a wide range of contemporary general topology and attracted a number of scientists from the...

BA - Obecná matematika

  • 2011
  • M
  • Link
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