Homology of the universal covering of a Co-H-space

Norio Iwase, Shiroshi Saito, Toshio Sumi

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

The problem 10 posed by Tudor Ganea is known as the Ganea conjecture on a co-H-space, a space with co-H-structure. Many efforts are devoted to show the Ganea conjecture under additional assumptions on the given co-H-structure. In this paper, we show a homological property of coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.

Original languageEnglish
Pages (from-to)4837-4846
Number of pages10
JournalTransactions of the American Mathematical Society
Volume351
Issue number12
Publication statusPublished - Dec 1 1999

Fingerprint

H-space
Homology
Covering
Corollary

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Homology of the universal covering of a Co-H-space. / Iwase, Norio; Saito, Shiroshi; Sumi, Toshio.

In: Transactions of the American Mathematical Society, Vol. 351, No. 12, 01.12.1999, p. 4837-4846.

Research output: Contribution to journal › Article

Iwase, N, Saito, S & Sumi, T 1999, 'Homology of the universal covering of a Co-H-space', Transactions of the American Mathematical Society, vol. 351, no. 12, pp. 4837-4846.
Iwase N, Saito S, Sumi T. Homology of the universal covering of a Co-H-space. Transactions of the American Mathematical Society. 1999 Dec 1;351(12):4837-4846.
Iwase, Norio ; Saito, Shiroshi ; Sumi, Toshio. / Homology of the universal covering of a Co-H-space. In: Transactions of the American Mathematical Society. 1999 ; Vol. 351, No. 12. pp. 4837-4846.
@article{f2c7f1b03ae842859db66f0ce6e5d8ea,
title = "Homology of the universal covering of a Co-H-space",
abstract = "The problem 10 posed by Tudor Ganea is known as the Ganea conjecture on a co-H-space, a space with co-H-structure. Many efforts are devoted to show the Ganea conjecture under additional assumptions on the given co-H-structure. In this paper, we show a homological property of coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.",
author = "Norio Iwase and Shiroshi Saito and Toshio Sumi",
year = "1999",
month = "12",
day = "1",
language = "English",
volume = "351",
pages = "4837--4846",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "12",

}

TY - JOUR

T1 - Homology of the universal covering of a Co-H-space

AU - Iwase, Norio

AU - Saito, Shiroshi

AU - Sumi, Toshio

PY - 1999/12/1

Y1 - 1999/12/1

N2 - The problem 10 posed by Tudor Ganea is known as the Ganea conjecture on a co-H-space, a space with co-H-structure. Many efforts are devoted to show the Ganea conjecture under additional assumptions on the given co-H-structure. In this paper, we show a homological property of coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.

AB - The problem 10 posed by Tudor Ganea is known as the Ganea conjecture on a co-H-space, a space with co-H-structure. Many efforts are devoted to show the Ganea conjecture under additional assumptions on the given co-H-structure. In this paper, we show a homological property of coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.

UR - http://www.scopus.com/inward/record.url?scp=29744467718&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29744467718&partnerID=8YFLogxK

M3 - Article

VL - 351

SP - 4837

EP - 4846

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 12

ER -

Access to Document