Connected mappings of Hausdorff spaces

@inproceedings{Pervin1958ConnectedMO,
  title={Connected mappings of Hausdorff spaces},
  author={William J. Pervin and Norman Levine},
  year={1958}
}
CONDITIONS IMPLYING CONTINUITY OF FUNCTIONS IN TOPOLOGICAL SPACES
Introduction. Halfer [11 uses the notion of neighbourhoods to introduce the definition of removable discontinuity of functions in topologicol spaces. He shows that a function having at worst a
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Multifunctions and Inverse Cluster Sets
Abstract In this paper the notion of inverse cluster set, which was recently introduced and studied for functions by T. R. Hamlett and P. E. Long (Proc. Amer. Math. Soc, 53 (1975), 470-476), is
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References

SHOWING 1-10 OF 11 REFERENCES
Some remarks on continuous transformations
Suppose / is a single-valued transformation of the metric space M onto the metric space fM. Many of the theorems of topology assert that if / is continuous, then it must have various other properties
Note on a pair of properties which characterize continuous functions
On the family of connected subsets and the topology of spaces.
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  • W. J. PERVIN AND NORMAN LEVINE [June
  • 1952
License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use 496
  • W. J. PERVIN AND NORMAN LEVINE [June
  • 1952
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