000			01564nam a22002177a 4500
008			210818b2019 ||||| |||| 00| 0 eng d
020			_a9781107146723
082			_a514.32 DIC-M
100			_aDickmann, Max
245			_aSpectral spaces / _cMax Dickmann, Niels Schwartz and Marcus Tressl
260			_aNew York _bCambridge University Press _c2019
300			_a633p.
365			_aGBP _b125.00
440			_aNew mathematical monographs, _v35.
500			_aSpectral spaces are a class of topological spaces. They are a tool linking algebraic structures, in a very wide sense, with geometry. They were invented to give a functional representation of Boolean algebras and distributive lattices and subsequently gained great prominence as a consequence of Grothendieck's invention of schemes. There are more than 1,000 research articles about spectral spaces, but this is the first monograph. It provides an introduction to the subject and is a unified treatment of results scattered across the literature, filling in gaps and showing the connections between different results. The book includes new research going beyond the existing literature, answering questions that naturally arise from this comprehensive approach. The authors serve graduates by starting gently with the basics. For experts, they lead them to the frontiers of current research, making this book a valuable reference source.
650			_aTopological spaces
650			_aCommutative rings
650			_aGeometry, Algebraic
700			_aSchwartz, Niels
700			_aTressl, Marcus
999			_c67159 _d67159