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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Connected projections of blocking sets of $ I\sp{n}\times M$


Author: Harvey Rosen
Journal: Proc. Amer. Math. Soc. 79 (1980), 335-337
MSC: Primary 54C15; Secondary 54C08, 54D05
MathSciNet review: 565366
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Abstract: Sufficient conditions are given for each minimal blocking set K of $ {I^n} \times M$ to have the closure of its projection, $ p(K)$, into $ {I^n}$ connected. The construction of some examples of almost continuous functions $ f:{I^n} \to M$ in the literature depends on knowing each $ \overline {p(K)} $ is connected or perfect.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0565366-8
PII: S 0002-9939(1980)0565366-8
Keywords: Blocking sets, almost continuous retracts of $ {I^n}$, arcwise connected subcontinua
Article copyright: © Copyright 1980 American Mathematical Society