"Zapiski Nauchnyh Seminarov POMI"

• Ivanov A. A. SPACE STRUCTURES, THEIR THEORY AND APPLICATION. 2 .......5 (.ps.gz)
• Chapter 1 Structures and categories .......8
• Introduction .......5
• Chapter 1 $P$-topological structures .......20
• 1. Spaces of subsets.......20
• 2. $P$-topological spaces.......30
• Chapter 2 Product structures and function spaces .......56
• Introduction.......56
• 1. Topological structures on sets of mappings .......58
• 2. Topological structures on products .......67
• 3. Topological structures on products and on function spaces .......71
• 4. The case $Z=D$ .......79
• 5. The case $X=Y$ .......84
• Chapter 3 Some applications of space structures .......91
• 1. Bitopological manifolds .......91
• 2. Infinitesimal structures on $\Bbb R^n$ .......102
• 3. $P$-topological manifolds .......109
• 4. Bitopological groups .......111
• 5. Some definitions and constructions .......116
• 6. Bitopological and topological groups .......120
• 7. Finite bitopological groups .......124
• 8. $P$-topological groups .......128
• Beshimov R. B. Some properties of the functor $O_\beta$ .......131 (.ps.gz)
• Zaitov A. A. The functor of order-preserving functionals of finite degree.......135 (.ps.gz)
• Reviews .......139 (.ps.gz)

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• Paging: 140 pp.
• Language: Russian

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