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RETRACTED ARTICLE: An elementary proof of the Brouwer’s fixed point theorem
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Abstract
Abstract We provide an elementary proof of the Brouwer’s fixed point theorem based solely on introductory topological concepts such as compactness and connectedness both covered in a first undergraduate course in point-set topology.
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The record
- Venue
- Arabian Journal of Mathematics
- Topic
- Functional Equations Stability Results
- Field
- Mathematics
- Canadian institutions
- Brock University
- Funders
- —
- Keywords
- MathematicsElementary proofSocial connectednessFixed-point theoremBrouwer fixed-point theoremCompact spaceLefschetz fixed-point theoremFixed pointKakutani fixed-point theoremDiscrete mathematicsFixed-point propertySet (abstract data type)Point (geometry)Topology (electrical circuits)Schauder fixed point theoremPure mathematicsCombinatoricsMathematical analysisComputer science
- Has abstract in OpenAlex
- yes