Brouwer's approximate fixed-point theorem is equivalent to Brouwer's fan theorem. Veldman, W. In Logicism, intuitionism, and formalism, volume 341, of Synth. Libr., pages 277–299. Springer, Dordrecht, 2009.
Paper doi bibtex @INCOLLECTION{Vel09a,
author = {Veldman, Wim},
title = {Brouwer's approximate fixed-point theorem is equivalent to {B}rouwer's
fan theorem},
booktitle = {Logicism, intuitionism, and formalism},
publisher = {Springer, Dordrecht},
year = {2009},
volume = {341},
series = {Synth. Libr.},
pages = {277--299},
doi = {10.1007/978-1-4020-8926-8_14},
keywords = {bib, con},
mrclass = {03F50},
mrnumber = {2509663},
url = {http://dx.doi.org/10.1007/978-1-4020-8926-8_14}
}
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