Geodesic
Extension of the Hermitian $K$-theory functor
Sbornik. Mathematics, Tome 198 (2007) no. 8, pp. 1145-1163
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new construction of symmetric non-commutative signature of non-simply-connected topological manifolds is proposed based on the natural definition of homology and cohomology of a topological manifold using the singular chain and cochain complexes. Bibliography: 5 titles. 
@article{SM_2007_198_8_a4,
     author = {P. S. Popov},
     title = {Extension of the {Hermitian} $K$-theory functor},
     journal = {Sbornik. Mathematics},
     pages = {1145--1163},
     year = {2007},
     volume = {198},
     number = {8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_8_a4/}
}
TY  - JOUR
AU  - P. S. Popov
TI  - Extension of the Hermitian $K$-theory functor
JO  - Sbornik. Mathematics
PY  - 2007
SP  - 1145
EP  - 1163
VL  - 198
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/SM_2007_198_8_a4/
LA  - en
ID  - SM_2007_198_8_a4
ER  - 
%0 Journal Article
%A P. S. Popov
%T Extension of the Hermitian $K$-theory functor
%J Sbornik. Mathematics
%D 2007
%P 1145-1163
%V 198
%N 8
%U http://geodesic.mathdoc.fr/item/SM_2007_198_8_a4/
%G en
%F SM_2007_198_8_a4
P. S. Popov. Extension of the Hermitian $K$-theory functor. Sbornik. Mathematics, Tome 198 (2007) no. 8, pp. 1145-1163. http://geodesic.mathdoc.fr/item/SM_2007_198_8_a4/

[1] E. H. Spanier, Algebraic topology, McGraw-Hill, New York–Toronto, ON–London, 1966 | MR | Zbl

[2] A. S. Mischenko, “Gomotopicheskie invarianty neodnosvyaznykh mnogoobrazii. I. Ratsionalnye invarianty”, Izv. AN CCCR. Cer. matem., 34:3 (1970), 501–514 | MR | Zbl

[3] A. S. Mischenko, “Perestroiki kompleksov Puankare”, Matem. sb., 85(127):3(7) (1971), 366–372 | MR | Zbl

[4] A. S. Mishchenko, P. S. Popov, “On construction of signature of quadratic forms on infinite-dimensional abstract spaces”, Georgian Math. J., 9:4 (2002), 775–785 | MR | Zbl

[5] P. S. Popov, “Signatura beskonechnomernykh otobrazhenii”, Trudy 25 konferentsii molodykh uchenykh MGU, 2003, 52–54