Frames and locales: topology without points
Frames and locals: topology without points
Frames and locales: topology without points
Main description: Ideen und Konzepte der "Allgemeinen Topologie" werden anhand einfacher Beispiele vorgestellt und anschließend konsequent entwickelt. Alle wesentlichen Begriffe werden anschaulich gewonnen. Der didaktische Aufbau folgt der Idee des "learn & check" weshalb an all…
Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. This book proposes a completely new mathematical structure for describing geometrical n…
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original th…
Chain Conditions in Topology
by Comfort, W. W., Negrepontis, S.
fromCambridge tracts in mathematics
A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, ca…
"Appearance of singularities is pervasive in many problems in topology, differential geometry, and algebraic geometry. This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and the interactions among them. Expository ch…
