Varieties of Professional Domains and Employability Determinants in Higher Education

This paper discusses graduates employability and early career success. In this context it follows multiple goals. First, it overviews the key research issues, results and concepts related to HE graduates’ transition. While this classification remains on the level of a simplified meta overview, it indicates the need for the contextualisation of graduate models and improvements in the interpretation of results. Second, it provides a short overview of the graduate transition models developed in early stages of the DEHEMS project and prior to it. Third, it applies theoretical considerations and the model developed in previous sections to a case study analysis of two domains. The data set relates to Slovenian graduates 5 years after they graduated from the HEGESCO international survey. The preliminary analysis leads to general conclusions and recommendations for further analysing and comparing different professional domains. Some concluding observations related do domain varieties are: a) graduates’ professional success is a multidimensional concept and requires modifications when applied to analytical models of study domains, b) even when the results of different study domains appear to be similar, their meaning can differ a lot when the interpretation is placed within the specific context of a professional domain, c) the principles and responsibility of the competencies incubation phase from education and the labour market should be interpreted and understood in line with the expected function of the HE institution, e) knowing the prevailing logic behind graduates’ jobs, such as managerialism, bureaucracy or professionalism in relation to graduates’ career observations might be another factor in determining graduates’ career success factors, f) when considering the factors of career success or the quality of jobs, one should be aware there might be an important difference when considering a model on an individual-level or a country-level basis.

Multiplicative bijections between algebras of differentiable functions

We show that any multiplicative bijection between the algebras of differentiable functions, defined on differentiable manifolds of positive dimension, is an algebra isomorphism, given by composition with a unique diffeomorphism