Pacific Journal of Mathematics

The dimension of the kernel of a planar set.

Marilyn Breen
Source: Pacific J. Math. Volume 82, Number 1 (1979), 15-21.
First Page: Show Hide
Primary Subjects: 52A30
Secondary Subjects: 52A35
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102785057
Zentralblatt MATH identifier: 0408.52004
Zentralblatt MATH identifier: 0377.52008
Mathematical Reviews number (MathSciNet): MR549829

References

[1] Marilyn Breen, Sets in Rd having (d--2)-dimensional kernels, Pacific J. Math., (to appear).
Mathematical Reviews (MathSciNet): MR81c:52009
[2] N. E. Foland and J. M. Marr, Sets with zero dimensionalkernels, Pacific J. Math., 19 (1966), 429-432.
Mathematical Reviews (MathSciNet): MR34:4983
Zentralblatt MATH: 0173.15304
[3] W. R. Hare, Jr. and J. W. Kenelly, Concerning sets with one point kernel, Nieuw Arch. Wisk., 14 (1966), 103-105.
Mathematical Reviews (MathSciNet): MR33:6500
Zentralblatt MATH: 0145.19202
[4] W. R. Hare,Intersections of maximal starshaped sets, Proc. Amer. Math. Soc, 19 (1968), 1299-1302.
Mathematical Reviews (MathSciNet): MR38:1605
Zentralblatt MATH: 0174.25301
[5] M. A. Krasnoseskii, Sur un critere pour qu'un domaine soit etoile, Math. Sb., (61) 19 (1946), 309-310.
Mathematical Reviews (MathSciNet): MR8:525a
Zentralblatt MATH: 0061.37705
[6] F. A. Toranzos, The dimension of the kernel of a starshaped set, Notices Amer. Math. Soc, 14 (1967), 832.

2012 © Pacific Journal of Mathematics

Pacific Journal of Mathematics

Pacific Journal of Mathematics

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