We define and investigate spectral invariants for Floer homology HF (H, U : M ) of an open subset U ⊂ M in T * M , defined by Kasturirangan and Oh as a direct limit of Floer homologies of approximations. We define a module structure product on HF (H, U : M ) and prove the triangle inequality for invariants with respect to this product. We also prove the continuity of these invariants and compare them with spectral invariants for periodic orbits case in T * M .

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Production of high-performance nanocomposite materials obtained from unsaturated polyester resin, based on products of the waste poly(ethylene terephthalate) recycling, and modified multi-walled carbon nanotubes is presented. Di-hydroxy functional glycolysates, synthesized by catalytic depolymerization of poly(ethylene terephthalate) with propylene glycol, were used for the unsaturated polyester resin synthesis. The structure of the obtained glycolysis product and unsaturated polyester resin were characterized by using FTIR and NMR spectroscopy, and by acid, iodine, and hydroxyl value. Nanofillers were prepared by direct and two-step amidation of oxidized multi-walled carbon nanotubes. Direct amidation with diallylamine produced multi-walled carbon nanotube-diallylamine reactive nanofiller. Two-step modification with diamines: hexamethylenediamine and p-phenylenediamine gave multi-walled carbon nanotubehexamethylenediamine and multi-walled carbon nanotube-p-phenylenediamine nanofiller, respectively, whose amidation with methyl ester of linseed oil fatty acids gave multi-walled carbon nanotube-hexamethylenediamine/methyl ester of linseed oil fatty acid and multi-walled carbon nanotube-p-phenylenediamine/methyl ester of linseed oil fatty acid nanofiller, respectively. Influences of vinyl functionalities on mechanical properties of nanocomposite were analyzed from tensile strength ( b ), elongation (" b ) and Young's modulus (E) determination. An increase of 97.4, 119 and 139% of b was obtained for nanocomposites with addition of 0.25 wt.% of diallylamine, p-phenylenediamine/methyl ester of linseed oil fatty acid and hexamethylenediamine/methyl ester of linseed oil fatty acid multi-walled carbon nanotubes, respectively. Short techno-economic analysis, performed on the basis of fixed and variable unsaturated polyester resin production costs, showed satisfactory potential profit, which could be realized by the implementation of the presented technology.

Production of rubber plasticizers, based on waste poly(ethylene terephthalate) (PET), and economic effectiveness of developed technologies are presented and discussed. Waste PET glycolyzates, named diisononyl terephthalate(DINTP), didecyl terephthalate (DDTP), dibenzyl terephthalate(DBTP) and diglyceryl terephthalate(DGTP), were obtained by catalytic depolymerization of PET with isononyl alcohol, decyl alcohol, benzyl alcohol and glycerol. The structural analysis of the synthesized plasticizers was done using elemental, FTIR and NMR spectral analysis. Physical-mechanical properties of the rubber products composed of 100 phr of 28 % nitrile butadiene caoutchouc (NBR) and 20.7 phr of plasticizer were investigated. Influence of the synthesized plasticizers on Shore hardness, breaking strength and elongation at break was investigated. Obtained results were compared with ones obtained for commercial plasticizer dioctyl phthatale (DOP). Evaluation of economic potential of new technology for plasticizers production, i.e. results of techno-economic analysis, was presented. Benefits of the presented technology was based on the use of waste PET which is related to both environmental protection and profitability aspects.