to functions between graphs with finitely many discontinuities
Author:
Jo Heath
Journal:
Proc. Amer. Math. Soc. 103 (1988), 661666
MSC:
Primary 05C10; Secondary 54C10
MathSciNet review:
943101
Fulltext PDF Free Access
Abstract 
References 
Similar Articles 
Additional Information
Abstract: This paper classifies which pairs of graphs and and which integers allow to functions from onto with only finitely many discontinuities.
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 , Exactly transformations on connected linear graphs, Amer. J. Math. 62 (1940), 823834. MR 0002554 (2:75c)
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 H. Katsuura, to functions on (0,1), preprint.
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 R. Levy, How to go around in circles, preprint.
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 V. Martin and J. H. Roberts, Twotoone transformations on manifolds, Trans. Amer. Math. Soc. 49 (1941), 117. MR 0004129 (2:324d)
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 J. Mioduszewski, On twotoone continuous functions, Dissertationes Math. (Rozprawy Mat.) 24 (1961), 42. MR 0145490 (26:3021)
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 S. B. Nadler, Jr. and L. E. Ward, Jr., Concerning exactly images of continua, Proc. Amer. Math. Soc. 87 (1983), 351354. MR 681847 (84c:54059)
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 J. H. Roberts, Twotoone transformations, Duke Math. J. 6 (1940), 256262. MR 0001923 (1:319d)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939198809431016
PII:
S 00029939(1988)09431016
Keywords:
to function,
to function,
graph
Article copyright:
© Copyright 1988
American Mathematical Society
