Katsumi Shimomura

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Let S 0 (p) denote the sphere spectrum localized at an odd prime p. Then we have the first beta element β 1 ∈ π 2p 2 −2p−2 (S 0 (p)), whose cofiber we denote by W. We also consider a generalized Smith-Toda spectrum V r characterized by BP * (V r) = BP * /(p, v r 1). In this note, we show that an element of π * (V r ∧ W) gives rise to a beta element of(More)
The Ravenel spectra T (m) for non-negative integers m interpolate between the sphere spectrum and the Brown-Peterson spectrum. Let L 2 denote the Bousfield-Ravenel localization functor with respect to v −1 2 BP. In this paper, we determine the homotopy groups π * (L 2 T (m) : Z/2) = [M 2 , L 2 T (m)] * for m > 1, where M 2 denotes the modulo two Moore(More)
On the homotopy groups of E(n)–local spectra with unusual invariant ideals HIROFUMI NAKAI KATSUMI SHIMOMURA Let E(n) and T(m) for nonnegative integers n and m denote the Johnson–Wilson and the Ravenel spectra, respectively. Given a spectrum whose E(n) * –homology is E(n) * (T(m))/(v 1 ,. .. , v n−1), then each homotopy group of it estimates the order of(More)
Anomalies of the appendix are extremely rare, and a horseshoe appendix is even rarer. A literature search has revealed only five reported cases. In this report, we present a case of a horseshoe appendix.A 78-year-old man was referred for further examination following a positive fecal occult blood test. A mass in his ascending colon was detected on(More)
Pyogenic liver abscess (PLA) complicated by inferior vena caval (IVC) thrombosis is rare but life-threatening. We experienced a case of PLA complicated by an IVC thrombus close to the right atrium after pancreatoduodenectomy. A 75-year-old man had undergone pancreatoduodenectomy with modified-Child reconstruction for pancreatic cancer 3 years prior, and no(More)