Abstract
In this chapter, we develop the theme of estimating dimensions of joins and sets of tangencies, often under assumptions of connectedness, using results from Chapter 3. In Section 4.1 we study the v-cycle again and show as an application of the connectedness theorem that it has no gaps, and this is interpreted in terms of normal cones. We apply this to linear projections and describe in some cases the structure of such a projection if its image has minimal dimension.
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© 1999 Springer-Verlag Berlin Heidelberg
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Flenner, H., O’Carroll, L., Vogel, W. (1999). Joins and Intersections. In: Joins and Intersections. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03817-8_5
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DOI: https://doi.org/10.1007/978-3-662-03817-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08562-8
Online ISBN: 978-3-662-03817-8
eBook Packages: Springer Book Archive