RELATING SPANS OF SOME CONTINUA

@inproceedings{HOMEOMORPHICTO2010RELATINGSO,
  title={RELATING SPANS OF SOME CONTINUA},
  author={S HOMEOMORPHICTO and T Eoin West},
  year={2010}
}
It has been conjectured that a*(X) > jUq (X) for each nonempty connected metric space X . In this paper we show that o*(X) > (\/3/2)<7q (X) when X C R." is homeomorphic to S"~ for « = 2,3,... and A is convex where A is the bounded component of Rn X . We also show that under certain conditions a lower bound for the ratio a* (X)la^(X) is larger than ■\/3/2 . it has also been conjectured that a'(X) > o(X)/2 and that <r0*(X) > aQ(X)/2 for each nonempty connected metric space X . We show that these… CONTINUE READING

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