"Zapiski Nauchnyh Seminarov POMI"

• Ivanov A. A. SPACE STRUCTURES, THEIR THEORY AND APPLICATION .......5 (.ps.gz)
• Chapter 1 Structures and categories .......8
• 1 Structures.......8
• 2 Categories and functors.......11
• Chapter 2 Spaces of metric types .......26
• 1 Metric spaces and their generalizations.......26
• 2 Axioms of euclidean space .......37
• Chapter 3 Structures of continuity .......51
• 1 Structures of topological spaces.......51
• 2 Structures of weakly topological spaces .......75
• 3 Structures of quasi-topological spaces .......84
• 4 Categories of continuity .......93
• Chapter 4 Extension structures .......97
• 1 Extensions of topological spaces .......97
• 2 Structural description of extensions .......106
• 3 Uniform spaces of coverings.......128
• 4 Other variants of uniformity.......138
• Chapter 5 Classical bitopological structures.......142
• 1 Classical bitopological themes .......142
• 2 Nonclassical bitopological themes .......157
• Chapter 6 General theory of bitopological spaces .......174
• 1 Classical constructions .......174
• 2 Reflexive, symmetrical and transitive bitopological structures .......187
• 3 Locally decomposible structures .......202
• 4 Local bitopological structures .......213
• 5 $\Delta$-uniform bitopological structures .......216
• 6 Bitopological representations .......222
• Reviews ....... 227 (.ps.gz)

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• Paging: 227 pp.
• Language: Russian

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