Set theory deals with objects and their collections. This theory is interesting for two reasons. First, nearly all mathematical fields use it. Second, every mathematical statement or proof could be cast into formulas within set theory. Number theory, algebra, analysis an all other theories ...
艾恩·亚当森——集合论练习册——伯克豪斯波士顿(1997)Iain Adamson - A Set Theory Workbook-Birkhuser Boston (1997) 274 p. 无限维李代数简介(Progress in Mathematics) Victor G. Kac - Infinite dimensional Lie algebras an introduction-Birkhuser Boston (1 274 p. 数学进展,Victor G. Kac - 无限...
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AXIOMATIC SET THEORYdoi:10.1112/blms/7.3.331Hodges, WilfridOxford University PressBulletin of the London Mathematical Society
In this book we are going to state the axioms of set theory, and we are going to show that our theorems are consequences of those axioms. The great advantage of the axiomatic method is that it makes totally explicit just what our initial assumptions are. It is sometimes said that “mathem...
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The various models of bargaining considered here will be studied axioma- cally. That is, each model will be studied by specifying a set of properties which serve to characterize it uniquely. Similar content being viewed by others On the axiomatic theory of bargaining: a survey of recent results...
The result of the alignment is a vector Vi of tokens; each component of the vector contains a set of tokens from different labels which are lexically aligned. For example, the labels Preductal coarctation of aorta and Muscular subvalvar atresia of aorta contain four and five tokens ...
Govindan and Mertens [4] establish an equivalent definition in terms of players' best-reply correspondences. Mertens' general definition invokes homology theory and is used here only in Appendices C (Lemma C.11) and D. 1 2 SRIHARI GOVINDAN AND ROBERT WILSON set survives iterative elimination ...
Then the theorem on the propagation of singularities states that the wave front set of a solution u of the equation P u = f with f smooth is a union of orbits of the Hamiltonian flow XP on the characteristics charP . In field theory on Lorentzian spacetime we are mainly interested in ...