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"I liked the algebraic way of looking at things.
I’m additionally fascinated when the algebraic method is applied to infinite objects”.

Irwing Kaplansky

K-theory of category of finitely presented modules

We will present a short description of higher K-theory fundamental notions. Higher K-groups Kn will be defined using the Volodin’s acyclic space method for “+”-construction. Moreover, it will be given the brief overview why the stable range notion stabilizes the “infinite” constructions and makes them “finite”. Finally, the explicit description of weak K-space K’(R) will be determined via Gillet-Grayson theorem and double short exact sequences calculus.

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Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of L'viv
1 Universytetska Str., 79000 Lviv, Ukraine
Tel: (+380 322) 394 172
E-mail: oromaniv at franko.lviv.ua

Outdoor meeting, 29 May, 2015