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- W4315588736 abstract "Without leaving finite mathematics and using finite topological spaces only, we give a definition of homeomorphisms of finite abstract simplicial complexes or finite graphs. Besides exploring the definition in various contexts, we add some remarks like that the general Lefschetz formula works for any continuous map on any finite topological space. We also noted that any higher order Wu characteristic as well as their cohomology are topological invariants which are not homotopy invariants. Energy theorems allow to express these topological invariants in terms of interaction energies of local open sets." @default.
- W4315588736 created "2023-01-11" @default.
- W4315588736 creator A5082554988 @default.
- W4315588736 date "2023-01-08" @default.
- W4315588736 modified "2023-10-01" @default.
- W4315588736 title "Finite topologies for finite geometries" @default.
- W4315588736 doi "https://doi.org/10.48550/arxiv.2301.03156" @default.
- W4315588736 hasPublicationYear "2023" @default.
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