Concordant mappings and the concordant-dissonant factorization of an arbitrary continuous function
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- by P. J. Collins
- Proc. Amer. Math. Soc. 27 (1971), 587-591
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276933-8
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Abstract:
The property of concordance (weaker than monotonicity) is introduced, and a characterization of concordant mappings using quotient spaces enables the derivation of a new factorization, the concordant-dissonant factorization of an arbitrary continuous function.References
- E. Michael, Cuts, Acta Math. 111 (1964), 1–36. MR 167968, DOI 10.1007/BF02391006
- Gordon Thomas Whyburn, Analytic topology, American Mathematical Society Colloquium Publications, Vol. XXVIII, American Mathematical Society, Providence, R.I., 1963. MR 0182943
- G. T. Whyburn, Open and closed mappings, Duke Math. J. 17 (1950), 69–74. MR 31713
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 587-591
- MSC: Primary 54.60
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276933-8
- MathSciNet review: 0276933