Fans and embeddings in the plane.
Lex G. Oversteegen
Source: Pacific J. Math. Volume 83, Number 2
(1979), 495-503.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102784525
Zentralblatt MATH identifier: 0414.54024
Zentralblatt MATH identifier: 0394.54018
Mathematical Reviews number (MathSciNet): MR557948
References
[1] Ralph B. Bennett, On some classes of non-contractible dendroids, Institute of the Polish Academy of Sciences, Mimeographed Paper (1972) (unpublished).
[2] R. H. Bing, A homogeneous indecomposable plane continuum,Duke J. of Math., 15 (1948), 729-742.
Mathematical Reviews (MathSciNet): MR10:261a
Zentralblatt MATH: 0035.39103
[3] R. H. Bing, Snake-like continua, ibidem 18 (1950), 653-663.
Mathematical Reviews (MathSciNet): MR13:265a
Zentralblatt MATH: 0043.16804
[4] K. Borsuk, A countable broom which cannot be imbedded in the plane, Colloq. Math., 10 (1963), 233-236.
Mathematical Reviews (MathSciNet): MR27:5235
Zentralblatt MATH: 0116.40701
[5] J. J. Charatonik and C. A. Eberhart, On contractible dendroids, Colloq. Math., 25 (1972), 89-98.
Mathematical Reviews (MathSciNet): MR46:8193
Zentralblatt MATH: 0243.54035
[6] J. J. Charatonik and Z. Rudy, Remarks on non-planable dendroids, Colloq. Math., 37 (1977), 205-216.
Mathematical Reviews (MathSciNet): MR57:4131
Zentralblatt MATH: 0403.54027
[7] B. G. Graham, On contractible fans, Doctoral dissertation, University of California, Riverside, California (1977).
Zentralblatt MATH: 0379.54011
[8] K. Kuratowski, Topology Vol. I, Academic Press (1966).
Mathematical Reviews (MathSciNet): MR36:840
Zentralblatt MATH: 0158.40901
[9] K. Kuratowski, Topology Vol. II, ibidem, 1968.
Mathematical Reviews (MathSciNet): MR41:4467
[10] Lex G. Oversteegen, Properties of contractible fans, Doctoral dissertation, Wayne State University, Detroit, Michigan, 1978. 11.1Every contractible fan is locally connected at its vertex, Trans. Amer. Math. Soc, (to appear).
Mathematical Reviews (MathSciNet): MR80e:54045
Pacific Journal of Mathematics
