Abstract
The centrality of the whole/part relation in mathematics is demonstrated through the presentation and analysis of examples from algebra, geometry, functional analysis,logic, topology and category theory.
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REFERENCES
Bell, J. L. and M. Machover: 1977, A Course in Mathematical Logic, Amsterdam: North-Holland.
Bell, J. L. and A. B. Slomson: 1969, Models and Ultraproducts: An Introduction, Amsterdam: North-Holland.
Bourbaki, N.: 1990, Elements of Mathematics: Algebra II, New York: Springer-Verlag.
Edwards, R. E.: 1965, Functional Analysis, New York: Holt, Rinehart and Winston.
Gillman, L. and M. Jerison: 1960, Rings of Continuous Functions, New York: Van Nostrand.
Johnstone, P. T.: 1982, Stone Spaces, Cambridge, U.K.: Cambridge University Press.
Lawvere, F. W. and S. Schanuel: 1997, Conceptual Mathematics, Cambridge, U.K., Cambridge University Press.
Loomis, L. H.: 1953, Abstract Harmonic Analysis, New York: Van Nostrand.
Mac Lane, S. and I. Moerdijk: 1992, Sheaves in Geometry and Logic, New York: Springer-Verlag.
Mulvey, C. J.: 1979, 'Representations of Rings and Modules', in M. P. Fouman, C. J. Mulvey and D. S. Scott (eds.), Applications of Sheaves, Lecture Notes in Mathematics 753, New York: Springer-Verlag, pp. 542–585.
Robinson, A.: 1996, Non-Standard Analysis, Princeton, N.J., U.S.A.: Princeton University Press.
Spivak, M.: 1979, Differential Geometry, Waltham, MA, U.S.A.: Publish or Perish Press.
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Bell, J.L. Whole and Part in Mathematics. Axiomathes 14, 285–294 (2004). https://doi.org/10.1023/B:AXIO.0000024887.61543.63
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DOI: https://doi.org/10.1023/B:AXIO.0000024887.61543.63