Many things in mathematics seem lamost unreasonably nice. This includes objects, counterexamples, proofs. In this preprint I discuss many examples of this phenomenon with emphasis on the ring of polynomials in a countably infinite number of variables in its many incarnations such as the representing object of the Witt vectors, the direct sum of the rings of representations of the symmetric groups, the free lambda ring on one generator, the homology and cohomology of the classifying space BU, ... . In addition attention is paid to the phenomenon that solutions to universal problems (adjoint functors) tend to pick up extra structure.
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MSC General mathematics (msc 00A05)
Publisher Cornell University Library
Series arXiv.org e-Print archive
Citation
Hazewinkel, M. (2008). Niceness theorems. arXiv.org e-Print archive. Cornell University Library .