V. M. Buchstaber, A. S. Mishchenko, “$K$-theory on the category of infinite cell complexes”, Math. USSR-Izv., 2:3 (1968), 515

Mathematics of the USSR-Izvestiya

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 3, Pages 515–556
DOI: https://doi.org/10.1070/IM1968v002n03ABEH000643 (Mi im2478)

This article is cited in 16 scientific papers (total in 19 papers)

K

$K$ -theory on the category of infinite cell complexes

V. M. Buchstaber, A. S. Mishchenko

English version PDF (1864 kB) Citations (19) Russian version article

References:

PDF

HTML

DOI: https://doi.org/10.1070/IM1968v002n03ABEH000643

Abstract: The main purpose of the article is to compute cohomology operations in

K

$K$ -theory

\mod p

$\operatorname{mod}p$ and operations from the usual cohomology theory into

K

$K$ -theory. The proposed method is based on the extension of

K

$K$ -theory to a category of infinite complexes, which makes it possible to use spectral sequences of the “bar-construction” type.

Received: 15.05.1967

Bibliographic databases:

Document Type: Article

UDC: 513.83

MSC: 18F25, 18A20, 18G40, 18G15, 18G60, 19D55

Language: English

Original paper language: Russian

Citation: V. M. Buchstaber, A. S. Mishchenko, “

K

$K$ -theory on the category of infinite cell complexes”, Math. USSR-Izv., 2:3 (1968), 515–556

Citation in format AMSBIB

\Bibitem{BucMis68}

\by V.~M.~Buchstaber, A.~S.~Mishchenko

\paper $K$-theory on the category of infinite cell complexes

\jour Math. USSR-Izv.

\yr 1968

\vol 2

\issue 3

\pages 515--556

\mathnet{http://mi.mathnet.ru/eng/im2478}

\crossref{https://doi.org/10.1070/IM1968v002n03ABEH000643}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=253322}

\zmath{https://zbmath.org/?q=an:0182.25803|0157.54001}

Linking options:

https://www.mathnet.ru/eng/im2478

https://doi.org/10.1070/IM1968v002n03ABEH000643

https://www.mathnet.ru/eng/im/v32/i3/p560

Remarks

Remark on the paper, " $K$ -theory on the category of infinite cell complexes"
V. M. Buchstaber, A. S. Mishchenko
Izv. Akad. Nauk SSSR Ser. Mat., 1969, 33:1, 239

This publication is cited in the following 19 articles:

P. S. Gevorgyan, “Shape theory”, J. Math. Sci., 259:5 (2021), 583–627
Anatoly Fomenko, Dmitry Fuchs, Graduate Texts in Mathematics, 273, Homotopical Topology, 2016, 305
Anatoly Fomenko, Dmitry Fuchs, Graduate Texts in Mathematics, 273, Homotopical Topology, 2016, 143
Anatoly Fomenko, Dmitry Fuchs, Graduate Texts in Mathematics, 273, Homotopical Topology, 2016, 495
Anatoly Fomenko, Dmitry Fuchs, Graduate Texts in Mathematics, 273, Homotopical Topology, 2016, 429
Anatoly Fomenko, Dmitry Fuchs, Graduate Texts in Mathematics, 273, Homotopical Topology, 2016, 389
Anatoly Fomenko, Dmitry Fuchs, Graduate Texts in Mathematics, 273, Homotopical Topology, 2016, 25
A. M. Vershik, A. P. Veselov, A. A. Gaifullin, B. A. Dubrovin, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, D. V. Millionshchikov, S. P. Novikov, T. E. Panov, A. G. Sergeev, I. A. Taimanov, “Viktor Matveevich Buchstaber (on his 70th birthday)”, Russian Math. Surveys, 68:3 (2013), 581–590
Manfred Stelzer, “Hyperbolic spaces at large primes and a conjecture of Moore”, Topology, 43:3 (2004), 667
A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635
A. A. Bolibrukh, A. A. Irmatov, M. I. Zelikin, O. B. Lupanov, V. M. Maynulov, E. F. Mishchenko, M. M. Postnikov, Yu. P. Solov'ev, E. V. Troitskii, “Aleksandr Sergeevich Mishchenko (on his 60th birthday)”, Russian Math. Surveys, 56:6 (2001), 1187–1191
A. N. Dranishnikov, “𝐾-theory of Eilenberg-Mac Lane spaces and cell-like mapping problem”, Trans. Amer. Math. Soc., 335:1 (1993), 91
Yu. B. Rudyak, “Orientability of bundles: obstruction theory and applications to $K$ -theory”, Math. USSR-Sb., 68:2 (1991), 429–451
A. N. Dranishnikov, “On a problem of P. S. Aleksandrov”, Math. USSR-Sb., 63:2 (1989), 539–545
A. N. Dranishnikov, “Homological dimension theory”, Russian Math. Surveys, 43:4 (1988), 11–63
North-Holland Mathematics Studies, 45, Some Applications of Topological K-Theory, 1980, 295
C. -F. Bödigheimer, “Splitting the Künneth sequence inK-theory. II”, Math. Ann., 251:3 (1980), 249
L. N. Vaserstein, “Foundations of algebraic $K$ -theory”, Russian Math. Surveys, 31:4 (1976), 89–156
Daniel Lehmann, Renzo Piccinini, “Remarques sur l'application Hom (G, H)?[B G,B H]”, Math Z, 128:3 (1972), 231

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Академии наук СССР. Серия математическая

Statistics & downloads:
Abstract page:	633
Russian version PDF:	185
English version PDF:	30
References:	83
First page:	3

Что такое QR-код?

Registration to the website

Logotypes