scholarly journals Positive Alexander Duality for Pursuit and Evasion

2017 ◽  
Vol 1 (1) ◽  
pp. 308-327 ◽  
Author(s):  
Robert Ghrist ◽  
Sanjeevi Krishnan
Keyword(s):  
Alexander Duality ◽  
Pursuit And Evasion

scholarly journals Differential Games for an Infinite 2-Systems of Differential Equations

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1467
Author(s):  
Muminjon Tukhtasinov ◽  
Gafurjan Ibragimov ◽  
Sarvinoz Kuchkarova ◽  
Risman Mat Hasim
Keyword(s):  
Hilbert Space ◽  
Differential Equations ◽  
Differential Games ◽  
Differential Game ◽  
Infinite System ◽  
The State ◽  
Geometric Constraints ◽  
Control Parameters ◽  
Systems Of Differential Equations ◽  
Pursuit And Evasion

A pursuit differential game described by an infinite system of 2-systems is studied in Hilbert space l2. Geometric constraints are imposed on control parameters of pursuer and evader. The purpose of pursuer is to bring the state of the system to the origin of the Hilbert space l2 and the evader tries to prevent this. Differential game is completed if the state of the system reaches the origin of l2. The problem is to find a guaranteed pursuit and evasion times. We give an equation for the guaranteed pursuit time and propose an explicit strategy for the pursuer. Additionally, a guaranteed evasion time is found.

scholarly journals Topological Games on Product Spaces and its Fuzzification

2013 ◽  
Vol 2 ◽  
pp. 11-15
Author(s):  
Bidyanand Prasad ◽  
BP Kumar
Keyword(s):  
Topological Space ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Perfect Information ◽  
Topological Spaces ◽  
Product Spaces ◽  
Pursuit And Evasion

This paper is concerned with the introduction of an infinite positional game of pursuit and evasion over an ideal of a topological space. A topological game has been played over some new D-product and C-product spaces of two Hausdorff topological spaces. Perfect information, decisions and goals in a game may not be feasible. Hence, fuzzy set theory has been applied in this paper to obtain better results. Academic Voices, Vol. 2, No. 1, 2012, Pages 11-15 DOI: http://dx.doi.org/10.3126/av.v2i1.8278

Alexander duality and finite graphs

2011 ◽  
pp. 153-182
Author(s):  
Jürgen Herzog ◽  
Takayuki Hibi
Keyword(s):  
Finite Graphs ◽  
Alexander Duality

Theories of pursuit and evasion

1988 ◽  
Vol 56 (2) ◽  
pp. 271-284 ◽  
Author(s):  
J. Mycielski
Keyword(s):  
Pursuit And Evasion

Pursuit and Evasion in a Circle

1984 ◽  
Vol 91 (7) ◽  
pp. 415-416 ◽  
Author(s):  
Jan Mycielski
Keyword(s):  
Pursuit And Evasion
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