LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	514
Title	Relational Topology ([EBook]) / by Gunther Schmidt, Michael Winter.
Author	Schmidt, Gunther
Added Personal Name	Winter, Michael author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details	XIV, 194 p. 104 illus., 68 illus. in color. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2208
ISBN	9783319744513
Summary Note	This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science. Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.:
Contents note	1.Introduction -- 2. Prerequisites -- 3. Products of Relations -- 4. Meet and Join as Relations -- 5. Applying Relations in Topology -- 6. Construction of Topologies -- 7. Closures and their Aumann Contacts -- 8. Proximity and Nearness -- 9. Frames -- 10. Simplicial Complexes.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-74451-3
Links to Related Works	Subject References: Algebra . Category Theory, Homological Algebra . Category theory (Mathematics) . Computer mathematics . Computer Science . Discrete Mathematics . General Algebraic Systems . Homological algebra . Mathematical Applications in Computer Science . Mathematical logic . Mathematical Logic and Foundations . Mathematics . Topology . Authors: Schmidt, Gunther . Winter, Michael . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 514 .

Catalogue Display

Relational Topology

Reviews