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Non-existence of an Algorithm for Determining the Triviality of the Second Homotopy Groups of Arbitrary Compact Topological Spaces
- Publication Year :
- 2024
-
Abstract
- In this paper, we demonstrate the non-existence of a computational algorithm capable of determining whether the second homotopy group of any compact constructive topological space is trivial. This finding shows the inherent limitations of computer methods in resolving certain topological problems.
- Subjects :
- Mathematics - Algebraic Topology
Mathematics - Optimization and Control
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.18537
- Document Type :
- Working Paper