Search results

Create the page "Lefschetz fixed point theory" on this wiki! See also the search results found.

• Euler and Lefschetz numbers
  '''Example (point).''' First, the point $P$: ==Fixed points==
  41 KB (7,169 words) - 14:00, 1 December 2015
• Lefschetz theory for coincidences
  First, consider the familiar '''Fixed Point Problem''': If $M$ is a [[manifold]] and $f:M\rightarrow M$ is a [[map]], w We know that the [[Lefschetz number]] of $f$ will detect these fixed points of all maps [[homotopic]] to $f$.
  19 KB (3,563 words) - 15:20, 9 December 2012
• Set-valued maps
  This problem may appear very different from the fixed point problem but let's compare anyway. *Fixed point problem: For $f:M \to M$, is there $a\in M$ with $f(a)=a$?
  24 KB (4,382 words) - 15:52, 30 November 2015
• Topology Illustrated -- Index
  *[[accumulation point|accumulation point]] *[[base point|base point]]
  16 KB (1,773 words) - 00:41, 17 February 2016
• Peter Saveliev's Academic Portfolio
  ...mathematics realm. After publishing a paper on applications of fixed point theory in control I became more and more interested in the areas of pure mathemati ...ata analysis]]. The main tool used in computational topology is [[homology theory]] and its extension specifically designed for applications that face uncert
  25 KB (3,536 words) - 14:28, 17 January 2017
• Lefschetz numbers in control theory
  ...z fixed point theory techniques, already available in dynamics, in control theory. ...The ''equilibrium'' set $C=\{x\in M:f(x)=x\}$ of the system is the set of fixed points of $f.$
  17 KB (3,052 words) - 22:12, 15 July 2014
• Applications of Lefschetz numbers in control theory by Saveliev
  ''Applications of Lefschetz numbers in control theory'' by [[Peter Saveliev]] ...mepage/keppelma/Nielsen_Abstracts.html International Conference on Nielsen Theory and Related Topics], Memorial University of Newfoundland, St John's, Canada
  2 KB (341 words) - 13:55, 26 March 2011
• Peter Saveliev's publications
  ..., ''[[Homology of filtrations|Robustness of topology of digital images and point clouds]]'', 23rd Canadian Conference on Computational Geometry, 2011, pp. 4 ...in control theory by Saveliev|Applications of Lefschetz numbers in control theory]]''. SIAM Journal of Control and Optimization, Society for Industrial and A
  4 KB (583 words) - 11:43, 5 July 2016
• Lefschetz coincidence theory for maps between spaces of different dimensions by Saveliev
  ''Lefschetz coincidence theory for maps between spaces of different dimensions'' by [[Peter Saveliev]] This is further development of the study in my previous paper [[A Lefschetz-type coincidence theorem by Saveliev]].
  2 KB (379 words) - 16:00, 6 December 2012
• Test
  The best place to get started with homology theory is graphs. One only needs to be concerned with two topological features: co ===Point-set topology===
  16 KB (2,139 words) - 23:01, 9 February 2015
• Applied Topology and Geometry
  The best place to get started with homology theory is graphs. One only needs to be concerned with two topological features: co ===Point-set topology===
  16 KB (2,088 words) - 16:37, 29 November 2014
• Conferences and workshops
  ...oint theorems, set intersection theorems, combinatorial convexity, lattice point counting, and tropical geometry. We will have fun visualizing polytopes an *Knot Theory workshop at Wake Forest University, NC, organizer Colin Adams (Williams Col
  8 KB (1,122 words) - 02:52, 24 October 2011
• A Lefschetz-type coincidence theorem by Saveliev
  ''A Lefschetz-type coincidence theorem'' by [[Peter Saveliev]] ...e spaces is not a manifold. In this paper a [[Lefschetz fixed point theory|Lefschetz]]-type coincidence theorem for two maps $f,g:X\rightarrow Y$ from an arbit
  2 KB (336 words) - 21:00, 4 December 2012