ISSN:
1572-9168
Keywords:
51H10
;
51A10
;
17A80
;
12K99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The valuation topology of any uniformly valued ternary field (K, T, v) can be extended to the projective plane II over (K, T) making it a topological projective plane in the sense of Salzmann. Appealing to Prieß-Crampe's celebrated fixed point theorem for ultrametric spaces, our result allows us to present a wide variety of new, totally disconnected, compact and non-compact topological projective planes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01263531
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