Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 77-98
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A. V. Ershov. Theories of bundles with additional structures. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 77-98. http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a5/
@article{FPM_2007_13_8_a5,
author = {A. V. Ershov},
title = {Theories of bundles with additional structures},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {77--98},
year = {2007},
volume = {13},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a5/}
}
TY - JOUR
AU - A. V. Ershov
TI - Theories of bundles with additional structures
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2007
SP - 77
EP - 98
VL - 13
IS - 8
UR - http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a5/
LA - ru
ID - FPM_2007_13_8_a5
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%A A. V. Ershov
%T Theories of bundles with additional structures
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 77-98
%V 13
%N 8
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a5/
%G ru
%F FPM_2007_13_8_a5
In the present paper, we study bundles equipped with extra homotopy conditions, in particular, so-called $n$-bundles. It is shown that (under some condition) the classifying space of 1-bundles is the double coset space of some finite-dimensional Lie group.
[3] Ershov A. V., Homotopy theory of bundles with fiber matrix algebra, Preprint 01, Max-Planck-Institut für Mathematik, 2003
[4] Ershov A. V., “Homotopy theory of bundles with fiber matrix algebra”, J. Math. Sci., 123:4 (2004), 4198–4220 | DOI | MR | Zbl
[5] Ershov A. V., “A generalization of the topological Brauer group”, J. $K$-Theory (to appear)
[6] Husemöller D., Joachim M., Jurčo B., Schottenloher M., Basic Bundle Theory and $K$-Cohomology Invariants, Lect. Notes Phys., 726, Springer, Berlin, 2008 | MR | Zbl