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Title: Classification of real and complex analytic map-germs on the generalized cross cap
Author: Al-Bahadeli, Mohammed Salim Jbara
ISNI:       0000 0004 2735 7202
Awarding Body: University of Leeds
Current Institution: University of Leeds
Date of Award: 2012
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This thesis consists of four parts. In the first part, we prove the following conjecture [HL091. Conjecture: Let (C2d-2, 0) - (C2d-1, 0) be the minimal cross cap of multiplicity d >2 and V be its image. In the second part, we develop computational method suitable for perform ing the classification theory. A computer package called CAST is developed. This is written in the Singular program and performs calculations such as complete transversals, finite determinacy and triviality. We discuss the pack- age in detail and give examples of calculations performed in this thesis. We consider the case where V is the image of the minimal crosscap cif multiplicity d > 2. In the final part, we give an application to classification problems. We classify corank 1 Ae-codimension 2 map-germs
Supervisor: Houston, K. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available