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- Title
On a New Proof of the Key Step in the Proof of Brouwer's Fixed Point Theorem.
- Authors
Krylov, N. V.
- Abstract
We present a solution of Exercise 1.2.1 in [1] which yields a short new proof of a key step in one of proofs of Brouwer's fixed point theorem (1910). A few people asked the author about the details of the solution, and this note might be interesting to a broader audience. Our approach is absolutely different from the ones using algebraic or differential topology or differential calculus and is based on a simple observation which somehow escaped many authors treating this theorem in the past.
- Subjects
DIFFERENTIAL topology; DIFFERENTIAL calculus; ALGEBRAIC topology
- Publication
Journal of Mathematical Sciences, 2024, Vol 279, Issue 4, p468
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07025-z