Revising the NCTM Standards

This is the published version. First published in Notices of the American Mathematical Society in 2000, published by the American Mathematical Society

Military business and the business of the military

Contrary to dominant approaches that locate the causes for military entrepreneurialism in eastern Democratic Republic of the Congo predominantly in criminal military elites, this article highlights the importance of the Congolese military’s (FARDC) civilian context for understanding military revenue-generation. It analyses how the latter is shaped by structures of domination, signification and legitimisation that drive and are driven by the FARDC’s governance, private protection and security practices. It argues that these practices contribute to bestowing a degree of legitimacy on both the FARDC’s position of power and some of its revenue-generation activities. Furthermore, by emphasising that the FARDC’s regulatory and protection practices are partly the product of popular demands and the routine actions of civilians, the article contends that the causes of military revenue-generation are co-located in the military’s civilian environment. In this manner, it offers a more nuanced conceptualisation of military entrepreneurialism, thus opening up new perspectives on policy interventions in this area

Easy S and L groups

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1980-0553388-2. First published in Amer. Math. Soc. in 1979, published by the American Mathematical Society.We give a simple proof that the existence of strong S or L spaces implies the existence of strong S or L groups; in fact the algebraic structure can be varied quite a bit. We also construct, under CH, S and L groups whose squares are neither S nor L

More paracompact box products

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1979-0521893-2. First published in Proc. Amer. Math. Soc. in 1979, published by the American Mathematical Society.We show that if there is no family of cardinality less than c which dominates ww, then the box product of countably many compact first-countable spaces is paracompact; hence the countable box product of compact metrizable spaces is paracompact if 2w = w2. We also give classes of forcing extensions in which many box products are paracompact

Height and width of superatomic Boolean algebras

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1985-0781045-0

p-points in iterated forcing extensions

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1978-0469759-X. First published in Proc. Amer. Math. Soc. in 1978, published by the American Mathematical Society.Selective ultrafilters exist in direct iterated ccc extensions whose length has uncountable cofinality, as do p-points which are not selective. Nonselective p-points also exist e.g. in an iterated Laver or Mathias extension of length w2 over a model of CH

A space of small spread without the usual properties

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1974-0331317-1. First published in Proc. Amer. Math. Soc. in 1974, published by the American Mathematical Society

A reformulation of S and L

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1978-0486845-9. First published in Proc. Amer. Math. Soc. in 1978, published by the American Mathematical Society.We give a combinatorial statement which is equivalent to the existence of an S space, and one equivalent to the existence of an L space, thus verifying the widespread intuition that the problem of S and L is essentially set-theoretic

CH and Ostaszewski spaces

This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9947-99-02407-1. First published in Trans. Amer. Math. Soc. in 1999, published by the American Mathematical Society.There are models of CH without Ostaszeswki spaces. If X is locally compact and sub-Ostaszewski, there is a forcing PX which does not add reals and which forces ``X is not sub-Ostaszewski''