000 02451nam a22003618i 4500
001 CR9780511721533
003 UkCbUP
005 20200124160240.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100303s1979||||enk o ||1 0|eng|d
020 _a9780511721533 (ebook)
020 _z9780521228459 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA251.3
_b.B78 1979
082 0 0 _a512.4
_219
100 1 _aBrumfiel, Gregory W.,
_eauthor.
245 1 0 _aPartially ordered rings and semi-algebraic geometry /
_cGregory W. Brumfiel.
246 3 _aPartially Ordered Rings & Semi-Algebraic Geometry
264 1 _aCambridge :
_bCambridge University Press,
_c1979.
300 _a1 online resource (280 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v37
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.
650 0 _aCommutative rings.
650 0 _aCategories (Mathematics)
776 0 8 _iPrint version:
_z9780521228459
830 0 _aLondon Mathematical Society lecture note series ;
_v37.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511721533
999 _c518503
_d518501