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Publisher's note

A probably still current view of what's below ground in NYC.

Concise Guide to Antrust Law

Sublime

What a great book!

A must for any Civil War or Marine history buff !

An absolute must for any Marine or CW buff !

Very interesting mathematicsThe author gives a nice overview of these results, and does so by first considering background material from the theory of unstable modules over the Steenrod algebra. The reader is expected to have a solid background in algebraic topology, particularly in the homotopy theory of CW-complexes, Eilenberg-Maclane spaces, Postnikov systems, the theory of spectral reduced and unreduced cohomology, cohomology operations, and K-theory. The Steenrod algebra has its origins in the consideration of stable Z/2 cohomology operations, where these operations can all be written in terms of Steenrod operations. Consideration of relations among the Steenrod squares result in a family of relations called the Adem relations. This construction can be generalized to a prime p by considering generators other than the Steenrod squares, and dividing out the Adem relations (these are more complex than for the case p = 2). The calculation of the cohomology of Eilenberg-Maclane spaces leads to a characterization of the Steenrod algebra as the algebra of all transformations of mod p cohomology that commute with suspension. Such transformations are called 'stable'.
The mod p cohomology of a space as a module over the Steenrod algebra is unstable, meaning that it is trivial in negative degrees. The author then characterizes the category of unstable modules over the Steenrod algebra (designated U by the author), and shows that is has enough projectives and that it is (locally) Noetherian. That this category has enough injectives is shown using Brown-Gitler technology. This involves the construction of the Brown-Gitler modules, which are related to the Milnor algebra (the dual of the Steenrod algebra, familiar from the elementary theory), and the Carlsson modules. The later are related to Carlsson's work on the Segal conjecture, and their description involves some interesting use of the combinatorics of binary trees. The Lannes functor is introduced as a generalization of this tensor product that still gives an injective category, and its properties are outlined in detail. Modular representation theory is used in the book to study indecomposable reduced U-injectives, and their graded vector space structure is studied using the familiar Poincare series. Then the quotient category of U by its subcategory of nilpotents is studied via a filtration on it, the quotient categories of this filtration being identified with the modular representations of the symmetric groups.
The last part of the book finally gets down to the Sullivan conjecture, beginning with a discussion of the Andre-Quillen cohomology of unstable algebras over the Steenrod algebra. All of the familiar tools from algebraic topology, such as Eilenberg-Moore spectral sequences and the Borel construction are used to prove Miller's version of the Sullivan conjecture and also a generalized version of it.


A very comprehensive overviewI particularly liked the chapters on Urban Poverty and Housing. The chapter on poverty explains issues like income transfers, food stamps and their effect on consumer behavior, problems of inner cities and development policies needed to change that.
Housing has a great chapter devoted to the peculiarities of housing as a commodity and the effect of race and discrimination on housing patterns. The most interesting part concerns the "filtering" of housing from the upper income to lower income populations.
Also explained is the auto oriented transportation vs mass transit and their specific roles in shaping cities.
Highly recommended. Easy to read and understand.


The Best Of The Glamour Girls