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Author ID: shimomura.katsumi Recent zbMATH articles by "Shimomura, Katsumi"
Published as: Shimomura, Katsumi
Documents Indexed: 65 Publications since 1978, including 2 Additional arXiv Preprints
Reviewing Activity: 78 Reviews
Co-Authors: 32 Co-Authors with 45 Joint Publications
181 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 128 times in 54 Documents Cited by Year
The homotopy groups \(\pi_ * (L_ 2 S^ 0)\). Zbl 0832.55011
Shimomura, Katsumi; Yabe, Atsuko
18
1995
The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3. Zbl 1007.55007
Shimomura, Katsumi; Wang, Xiangjun
11
2002
The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum. Zbl 0946.55006
Shimomura, Katsumi
9
2000
The homotopy groups of the \(L_ 2\)-localized Toda-Smith spectrum \(V(1)\) at the prime 3. Zbl 0869.55012
Shimomura, Katsumi
9
1997
The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2. Zbl 1012.55021
Shimomura, Katsumi; Wang, Xiangjun
7
2002
Novikov’s \(Ext^ 2\) at the prime 2. Zbl 0485.55013
Shimomura, Katsumi
5
1981
On products of the beta-elements in the stable homotopy of spheres. Zbl 0515.55010
Oka, Shichiro; Shimomura, Katsumi
5
1982
The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\). Zbl 1004.55007
Kamiya, Yousuke; Shimomura, Katsumi
5
2001
On the Adams-Novikov spectral sequence and products of \(\beta\)-elements. Zbl 0605.55013
Shimomura, Katsumi
4
1986
A relation between the Picard group of the \(E(n)\)-local homotopy category and \(E(n)\)-based Adams spectral sequence. Zbl 1097.55007
Kamiya, Yousuke; Shimomura, Katsumi
4
2004
Picard groups of some local categories. Zbl 1136.55009
Kamiya, Yousuke; Shimomura, Katsumi
3
2007
The Adams-Novikov \(E_2\)-term for computing \(\pi_*(L_2 V(0))\) at the prime 2. Zbl 0931.55009
Shimomura, Katsumi
3
1999
The homotopy groups of the \(L_ 2\)-localized Mahowald spectrum \(X\langle 1\rangle\). Zbl 0835.55009
Shimomura, Katsumi
3
1995
Note on beta elements in homotopy, and an application to the prime three case. Zbl 1207.55013
Shimomura, Katsumi
3
2010
Products of Greek letter elements dug up from the third Morava stabilizer algebra. Zbl 1245.55005
Kato, Ryo; Shimomura, Katsumi
3
2012
Non-triviality of some compositions of \(\beta\)-elements in the stable homotopy of the Moore spaces. Zbl 0606.55009
Shimomura, Katsumi; Tamura, Hidetaka
3
1986
KO-groups of lens spaces modulo powers of two. Zbl 0399.55012
Fujii, Kenso; Kobayashi, Teiichi; Shimomura, Katsumi; Sugawara, Masahiro
3
1978
The homotopy groups \(\pi_*(L_nT(m)\wedge V(n-2))\). Zbl 1012.55020
Shimomura, Katsumi
3
2002
BP-Hopf module spectrum and \(BP_ *\)-Adams spectral sequence. Zbl 0636.55003
Shimomura, Katsumi; Yosimura, Zen-ichi
2
1986
On the action of \(\beta_1\) in the stable homotopy of spheres at the prime 3. Zbl 0997.55017
Shimomura, Katsumi
2
2000
\(E(2)\)-invertible spectra smashing with the Smith-Toda spectrum \(V(1)\) at the prime \(3\). Zbl 1051.55007
Ichigi, Ippei; Shimomura, Katsumi
2
2004
On the chromatic \(E_ 1\)-term \(H^*M_ 0^ 2\). Zbl 0810.55010
Shimomura, Katsumi; Yabe, Atsuko
2
1994
The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres. Zbl 1223.55007
Shimomura, Katsumi
2
2010
Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres. Zbl 0642.55008
Shimomura, Katsumi
1
1987
The chromatic \(E_1\)-term \(\text{Ext}^0 (v_3^{-1} BP_* / (3, v_1, v_2^{\infty}) [t_1])\). Zbl 0946.55013
Ichigi, Ippei; Shimomura, Katsumi
1
2000
On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. II. Zbl 0862.55009
Inoue, Hiromi; Osakada, Yoshiko; Shimomura, Katsumi
1
1994
\(E_*\)-homology spheres for a connective spectrum \(E\). Zbl 1026.55015
Kamiya, Yousuke; Shimomura, Katsumi
1
2002
On subgroups of \(\pi_*(L_2T(1)\wedge M(2))\) at the prime two. Zbl 1175.55011
Ichigi, Ippei; Shimomura, Katsumi; Wang, Xiangjun
1
2007
Triviality of products of \(\beta\)-elements in the stable homotopy group of spheres. Zbl 0698.55012
Shimomura, Katsumi
1
1989
On the products \(\beta_ s\beta_ t\) in the stable homotopy groups of spheres. Zbl 0713.55008
Shimomura, Katsumi
1
1989
The chromatic \(E_ 1\)-term \(H^ 1M_ 1^ 1\) at the prime 3. Zbl 0869.55010
Arita, Yoshiko; Shimomura, Katsumi
1
1996
The Adams-Novikov spectral sequence for the \(L_ 2\) localization of a \(v_ 2\) spectrum. Zbl 0791.55005
Mahowald, Mark; Shimomura, Katsumi
1
1993
Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres. Zbl 0824.55002
Shimomura, Katsumi; Yokotani, Masaaki
1
1994
On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. Zbl 0861.55025
Mabuchi, Miho; Shimomura, Katsumi
1
1992
On the product \({\alpha}_1, {\beta}^r_1, {\gamma}_t\) in the stable homotopy groups of spheres. Zbl 1300.55017
Shimomura, Katsumi; Yoshizawa, Kié
1
2014
A beta family in the homotopy of spheres. Zbl 1310.55008
Shimomura, Katsumi
1
2014
Generalized Bousfield lattices and a generalized retract conjecture. Zbl 1305.55006
Kato, Ryo; Shimomura, Katsumi; Tatehara, Yutaro
1
2014
A note on Hopkins’ Picard groups of the stable homotopy categories of \(L_n\)-local spectra. Zbl 1442.55009
Shimomura, Katsumi
1
2020
A note on the products \(\alpha_1\beta_2\gamma_t\) and \(\beta_1^{r+1}\beta_2\gamma_t\) in the stable homotopy of spheres. Zbl 1509.55009
Okajima, Hiroki; Shimomura, Katsumi
1
2019
On the homotopy groups of \(E(n)\)-local spectra with unusual invariant ideals. Zbl 1258.55009
Nakai, Hirofumi; Shimomura, Katsumi
1
2007
A note on Hopkins’ Picard groups of the stable homotopy categories of \(L_n\)-local spectra. Zbl 1442.55009
Shimomura, Katsumi
1
2020
A note on the products \(\alpha_1\beta_2\gamma_t\) and \(\beta_1^{r+1}\beta_2\gamma_t\) in the stable homotopy of spheres. Zbl 1509.55009
Okajima, Hiroki; Shimomura, Katsumi
1
2019
On the product \({\alpha}_1, {\beta}^r_1, {\gamma}_t\) in the stable homotopy groups of spheres. Zbl 1300.55017
Shimomura, Katsumi; Yoshizawa, Kié
1
2014
A beta family in the homotopy of spheres. Zbl 1310.55008
Shimomura, Katsumi
1
2014
Generalized Bousfield lattices and a generalized retract conjecture. Zbl 1305.55006
Kato, Ryo; Shimomura, Katsumi; Tatehara, Yutaro
1
2014
Products of Greek letter elements dug up from the third Morava stabilizer algebra. Zbl 1245.55005
Kato, Ryo; Shimomura, Katsumi
3
2012
Note on beta elements in homotopy, and an application to the prime three case. Zbl 1207.55013
Shimomura, Katsumi
3
2010
The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres. Zbl 1223.55007
Shimomura, Katsumi
2
2010
Picard groups of some local categories. Zbl 1136.55009
Kamiya, Yousuke; Shimomura, Katsumi
3
2007
On subgroups of \(\pi_*(L_2T(1)\wedge M(2))\) at the prime two. Zbl 1175.55011
Ichigi, Ippei; Shimomura, Katsumi; Wang, Xiangjun
1
2007
On the homotopy groups of \(E(n)\)-local spectra with unusual invariant ideals. Zbl 1258.55009
Nakai, Hirofumi; Shimomura, Katsumi
1
2007
A relation between the Picard group of the \(E(n)\)-local homotopy category and \(E(n)\)-based Adams spectral sequence. Zbl 1097.55007
Kamiya, Yousuke; Shimomura, Katsumi
4
2004
\(E(2)\)-invertible spectra smashing with the Smith-Toda spectrum \(V(1)\) at the prime \(3\). Zbl 1051.55007
Ichigi, Ippei; Shimomura, Katsumi
2
2004
The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3. Zbl 1007.55007
Shimomura, Katsumi; Wang, Xiangjun
11
2002
The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2. Zbl 1012.55021
Shimomura, Katsumi; Wang, Xiangjun
7
2002
The homotopy groups \(\pi_*(L_nT(m)\wedge V(n-2))\). Zbl 1012.55020
Shimomura, Katsumi
3
2002
\(E_*\)-homology spheres for a connective spectrum \(E\). Zbl 1026.55015
Kamiya, Yousuke; Shimomura, Katsumi
1
2002
The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\). Zbl 1004.55007
Kamiya, Yousuke; Shimomura, Katsumi
5
2001
The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum. Zbl 0946.55006
Shimomura, Katsumi
9
2000
On the action of \(\beta_1\) in the stable homotopy of spheres at the prime 3. Zbl 0997.55017
Shimomura, Katsumi
2
2000
The chromatic \(E_1\)-term \(\text{Ext}^0 (v_3^{-1} BP_* / (3, v_1, v_2^{\infty}) [t_1])\). Zbl 0946.55013
Ichigi, Ippei; Shimomura, Katsumi
1
2000
The Adams-Novikov \(E_2\)-term for computing \(\pi_*(L_2 V(0))\) at the prime 2. Zbl 0931.55009
Shimomura, Katsumi
3
1999
The homotopy groups of the \(L_ 2\)-localized Toda-Smith spectrum \(V(1)\) at the prime 3. Zbl 0869.55012
Shimomura, Katsumi
9
1997
The chromatic \(E_ 1\)-term \(H^ 1M_ 1^ 1\) at the prime 3. Zbl 0869.55010
Arita, Yoshiko; Shimomura, Katsumi
1
1996
The homotopy groups \(\pi_ * (L_ 2 S^ 0)\). Zbl 0832.55011
Shimomura, Katsumi; Yabe, Atsuko
18
1995
The homotopy groups of the \(L_ 2\)-localized Mahowald spectrum \(X\langle 1\rangle\). Zbl 0835.55009
Shimomura, Katsumi
3
1995
On the chromatic \(E_ 1\)-term \(H^*M_ 0^ 2\). Zbl 0810.55010
Shimomura, Katsumi; Yabe, Atsuko
2
1994
On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. II. Zbl 0862.55009
Inoue, Hiromi; Osakada, Yoshiko; Shimomura, Katsumi
1
1994
Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres. Zbl 0824.55002
Shimomura, Katsumi; Yokotani, Masaaki
1
1994
The Adams-Novikov spectral sequence for the \(L_ 2\) localization of a \(v_ 2\) spectrum. Zbl 0791.55005
Mahowald, Mark; Shimomura, Katsumi
1
1993
On some products of \(\beta\)-elements in the homotopy of the Moore spectrum. Zbl 0861.55025
Mabuchi, Miho; Shimomura, Katsumi
1
1992
Triviality of products of \(\beta\)-elements in the stable homotopy group of spheres. Zbl 0698.55012
Shimomura, Katsumi
1
1989
On the products \(\beta_ s\beta_ t\) in the stable homotopy groups of spheres. Zbl 0713.55008
Shimomura, Katsumi
1
1989
Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres. Zbl 0642.55008
Shimomura, Katsumi
1
1987
On the Adams-Novikov spectral sequence and products of \(\beta\)-elements. Zbl 0605.55013
Shimomura, Katsumi
4
1986
Non-triviality of some compositions of \(\beta\)-elements in the stable homotopy of the Moore spaces. Zbl 0606.55009
Shimomura, Katsumi; Tamura, Hidetaka
3
1986
BP-Hopf module spectrum and \(BP_ *\)-Adams spectral sequence. Zbl 0636.55003
Shimomura, Katsumi; Yosimura, Zen-ichi
2
1986
On products of the beta-elements in the stable homotopy of spheres. Zbl 0515.55010
Oka, Shichiro; Shimomura, Katsumi
5
1982
Novikov’s \(Ext^ 2\) at the prime 2. Zbl 0485.55013
Shimomura, Katsumi
5
1981
KO-groups of lens spaces modulo powers of two. Zbl 0399.55012
Fujii, Kenso; Kobayashi, Teiichi; Shimomura, Katsumi; Sugawara, Masahiro
3
1978

Citations by Year