We define the tangent set of a given point set of PG(n,q) and give some examples. The tangent sets of hyperplanes, arcs, quadrics and Hermitian varieties are investigated.
Gσ-sets in symmetrizable and related spaces
✍ Scribed by S.W. Davis; G. Gruenhage; P.J. Nyikos
- Publisher
- Elsevier Science
- Year
- 1978
- Weight
- 1003 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0016-660X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we answer questions of Arhangel'skii and Michael by providing an example of a regular symmetrizable spslce which is not subparacompact and has a closed subset which is not a C&set. We also use the idea of sequential arder to obtain some positive results, and several examples are provided wfsicb show that these results are in some sense the best possible.
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