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    Antolini, Rosa 2000. Cubical structures, homotopy theory. Annali di Matematica Pura ed Applicata, Vol. 178, Issue. 1, p. 317.
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The simplicial extension theorem

  • B. J. Sanderson (a1)
Extract

Familiarity with the category of simplicial sets and the Milnor realization functor, as in e.g. (5), is assumed. We say f: |Y| → |Z| is realized if f = |g| for some g.

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COPYRIGHT: © Cambridge Philosophical Society 1975
References
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(1)Barrate, M. Simplicial and semisimplicial complexes, Princeton University lecture notes. (1956).
(2)Curtis, E. Simplicial homotopy theory, Aarhus University lecture notes (1967).
(3)Fritsch, R.Characterisierung semisimplizialer Mengen durch Unterteilung und Graphen. Manuscripta Math. 5 (1971), 213–227.
(4)Fritsch, R.Some remarks on S. Weingram: On the triangulation of a semisimplicial complex. Illinois J. Math. 14 (1970), 529–535.
(5)Gabriel, P. & Zisman, M.Calculus of fraction and homotopy theory, Ergebnisse der Mathematik. Band 35 (Springer-Verlag, 1967).
(6)Kan, D. M.On c.s.s. complexes. Amer. J. Math. 79 (1957), 449–476.
(7)Weingram, S.On the triangulation of the realisation of a semisimplicial complex. Illinois J. Math. 12 (1968), 403–413.
(8)Zeeman, E. C.Relative simplicial approximation. Proc. Cambridge Philos. Soc. 60 (1964), 39–43.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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