Relational Topology

Β·
Β· Springer
Π•-ΠΊΠ½ΠΈΠ³Π°
194
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

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.

ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ ја Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΡˆΡ‚ΠΎ мислитС.

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Π—Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΈ со Π΅-мастило, ΠΊΠ°ΠΊΠΎ ΡˆΡ‚ΠΎ сС Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈΡ‚Π΅ Kobo, ќС Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅Π·Π΅ΠΌΠ΅Ρ‚Π΅ Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠ° ΠΈ Π΄Π° ја ΠΏΡ€Π΅Ρ„Ρ€Π»ΠΈΡ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΎΡ‚. Π‘Π»Π΅Π΄Π΅Ρ‚Π΅ Π³ΠΈ Π΄Π΅Ρ‚Π°Π»Π½ΠΈΡ‚Π΅ упатства Π²ΠΎ Π¦Π΅Π½Ρ‚Π°Ρ€ΠΎΡ‚ Π·Π° помош Π·Π° ΠΏΡ€Π΅Ρ„Ρ€Π»Π°ΡšΠ΅ Π½Π° Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠΈΡ‚Π΅ Π½Π° ΠΏΠΎΠ΄Π΄Ρ€ΠΆΠ°Π½ΠΈ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ.