The Convergence of Some Products in the Adams Spectral Sequence

2015 ◽  
Vol 117 (2) ◽  
pp. 304
Author(s):  
Yuyu Wang ◽  
Jianbo Wang
Keyword(s):  
Spectral Sequence ◽  
Adams Spectral Sequence ◽  
May Spectral Sequence ◽  
Related Family ◽  
The Family

In this paper, we will use the family of homotopy elements $\zeta_n\in\pi_*S$, represented by $h_0b_n\in \operatorname{Ext}_A^{3,p^{n+1} q+q}(\mathsf{Z}_p, \mathsf{Z}_p)$ in the Adams spectral sequence, to detect a $\zeta_n$-related family $\gamma_{s+3}\beta_2\zeta_{n-1}$ in $\pi_*S$. Our main methods are the Adams spectral sequence and the May spectral sequence, here prime $p\geq 7$, $n>3$, $q=2(p-1)$.

scholarly journals On the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$

2021 ◽  
Author(s):  
Dominic Leon Culver ◽  
Paul VanKoughnett
Keyword(s):  
Spectral Sequence ◽  
Adams Spectral Sequence

AbstractAs a step towards understanding the $$\mathrm {tmf}$$ tmf -based Adams spectral sequence, we compute the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$ tmf ∧ tmf , using a small presentation of $$L_{K(1)}\mathrm {tmf}$$ L K ( 1 ) tmf due to Hopkins. We also describe the K(1)-local $$\mathrm {tmf}$$ tmf -based Adams spectral sequence.

scholarly journals Hecke Operations and the Adams E2-Term Based on Elliptic Cohomology

1999 ◽  
Vol 42 (2) ◽  
pp. 129-138 ◽  
Author(s):  
Andrew Baker
Keyword(s):  
Spectral Sequence ◽  
Adams Spectral Sequence ◽  
Hecke Operators ◽  
Elliptic Cohomology

AbstractHecke operators are used to investigate part of the E2-term of the Adams spectral sequence based on elliptic homology. The main result is a derivation of Ext1 which combines use of classical Hecke operators and p-adic Hecke operators due to Serre.

Family Justice, “Asian Values” and the Politics of Ambivalence in Singapore

2018 ◽  
Vol 46 (4-5) ◽  
pp. 467-483
Author(s):  
Daniel P.S. Goh
Keyword(s):  
Nuclear Family ◽  
Family Values ◽  
Policy Changes ◽  
Asian Values ◽  
Related Family ◽  
New Family ◽  
Rights Of The Child ◽  
The Family ◽  
Family Types ◽  
Discursive Field

Abstract In recent years, Singapore made significant reforms towards the establishment of a dedicated family justice system, setting up the Family Justice Courts and enacting new laws to better manage the divorce process and the protection of children. Related policy changes have also been implemented to provide and support families that were previously considered non-traditional and even deviant. Rhetorically, the state, led by the long-ruling People’s Action Party, continues to champion the modern nuclear family with heterosexual marriage at its core as the normal “traditional” form of the family and the bedrock of conservative “Asian values” defining society and politics in Singapore. However, what the judiciary espouse as the new family justice paradigm and the related family justice practices, together with the shifts in social policy towards different family types, are changing the texture of the dominant conservatism rallied by “Asian values” discourse. This article locates and analyses the incipient paradigm shift in the rising pluralism of family forms and the influence of international legal developments in protecting the rights of the child and interventionist family law. By attempting to bridge the Weberian chasm of doing sociology as a vocation and doing politics as a vocation (as an opposition Member of Parliament), I show that the family justice paradigm has opened up the discursive field on the family and produce the politics of ambivalence caught between family justice and Asian family values. I argue for a relational family justice paradigm as a way to move beyond the politics of ambivalence.

Some infinite families in the stable homotopy of spheres

1987 ◽  
Vol 101 (3) ◽  
pp. 477-485 ◽  
Author(s):  
Wen-Hsiung Lin
Keyword(s):  
Spectral Sequence ◽  
Adams Spectral Sequence ◽  
Stable Homotopy ◽  
Homotopy Groups ◽  
Homotopy Groups Of Spheres ◽  
Stable Homotopy Groups ◽  
Stable Homotopy Of Spheres

The classical Adams spectral sequence [1] has been an important tool in the computation of the stable homotopy groups of spheres . In this paper we make another contribution to this computation.

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