On Decomposition of Continua into Aposyndetic Continual )

  title={On Decomposition of Continua into Aposyndetic Continual )},
  author={LOUIS F. McAULEYP},
  • Published 2010
Introduction. This paper generalizes certain methods of decomposition of compact metric continua due to R. L. Moore [3; 4] and G. T. Whyburn [9; 10; 13]. While their methods yield acyclic continuous curves, hyperspaces are obtained here which are aposyndetic [l ] continua. The concept of a continuum being aposyndetic is a generalization of the concept of continuous curves and was introduced in 1941 by F. B. Jones. In compact metric continua, this idea is equivalent to Whyburn's notion of semi… CONTINUE READING

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-5 of 5 references

Foundations of point set theory, Amer

  • R. L. Moore
  • Math. Soc. Colloquium Publications, vol. 13, New…
  • 1932
Highly Influential
4 Excerpts

Analytic topology, Amer

  • G. T. Whyburn
  • Math. Soc. Colloquium Publications, vol. 28, New…
  • 1942
1 Excerpt

Aposyndetic continua and certain boundary problems, Amer

  • F. Burton Jones
  • J. Math, vol
  • 1941

Concerning metric collections of continua

  • J. H. Roberts
  • Amer. J. Math. vol
  • 1931

Similar Papers

Loading similar papers…