Lion and man in non-metric spaces
Jonathan Ariel Barmak

TL;DR
This paper explores the strategic possibilities of a lion and a man moving continuously in a general topological space, extending previous studies from metric spaces to more abstract topological settings.
Contribution
It generalizes the problem of pursuit and evasion strategies from metric spaces to arbitrary topological spaces, broadening the theoretical framework.
Findings
Analysis of pursuit-evasion strategies in topological spaces
Extension of classical results to non-metric contexts
Identification of conditions for strategy existence
Abstract
A lion and a man move continuously in a space . The aim of the lion is to capture his prey while the man wants to escape forever. Which of them has a strategy? This question has been studied for different metric domains. In this article we consider the case of general topological spaces.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Fixed Point Theorems Analysis · Geometric Analysis and Curvature Flows
