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Ulam’s Conjecture
- Authors
- Jung, S.-M.
- Issue Date
- 2023
- Publisher
- Springer Science and Business Media Deutschland GmbH
- Citation
- Frontiers in Mathematics, v.Part F808, pp.167 - 184
- Journal Title
- Frontiers in Mathematics
- Volume
- Part F808
- Start Page
- 167
- End Page
- 184
- ISSN
- 1660-8046
- Abstract
- The conjecture of Ulam states that the standard product probability measure π on the Hilbert cube Iω is invariant under the induced metric da when the sequence a={ai}i∈ℕ of positive numbers satisfies condition (4.1 ). This conjecture was proved in [6] when E1 is a non-degenerate subset of Ma. In this chapter, we will completely prove Ulam’s conjecture to be true by considering both non-degenerate as well as degenerate cases. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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