We construct a crystallization of the real projective n-space whose associated contracted complex is minimal with respect to the number of n-simplexes. Then we compute the regular genus of such a space, which is the minimum genus of a closed connected surface into which a crystallization of it regularly embeds.
On the genus of real projective spaces / Cavicchioli, Alberto; Spaggiari, Fulvia. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - 89:(2007), pp. 570-576. [10.1007/s00013-007-2340-y]
On the genus of real projective spaces
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2007
Abstract
We construct a crystallization of the real projective n-space whose associated contracted complex is minimal with respect to the number of n-simplexes. Then we compute the regular genus of such a space, which is the minimum genus of a closed connected surface into which a crystallization of it regularly embeds.
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