✦ LIBER ✦

On the homotopy types of closed 4-manifolds covered by S2 × R2

✍ Scribed by Jonathan A. Hillman

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 622 KB
Volume: 75
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00099-5

No coin nor oath required. For personal study only.

✦ Synopsis

We show that if A4 is a closed 4-manifold such that ~z(A4) ?Z Z and x(M) 6 0 then its homotopy type is determined up to a finite ambiguity by T = TI (M). We also show that (for given T) the action of T on TZ(M) and the orientation character WI(M) determine each other, and find strong constraints on the possible k-invariants when x(M) = 0. Finally we show that WIL(7r) = 0.

📜 SIMILAR VOLUMES

Comparing the homotopy types of the comp

Comparing the homotopy types of the components of Map(S4,BSU(2))

✍ Shuichi Tsukuda 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

Formation of sulfhydryl (SH) species on

Formation of sulfhydryl (SH) species on the clean and (2 × 2)-S covered Pt(111) surfaces by H2S decomposition

✍ R.J. Koestner; M. Salmerón; E.B. Kollin; J.L. Gland 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 460 KB

H,S decomposition on the clean and (2 x 2)-S covered Pt(ll1) surfaces has been characterized using high-resolution electron energy loss (HREELS) and temperature-programmed desorption (TPD) spectroscopies. On the Pt(lll)-(2x2)-S surface, a mixture of molecular H,S and sulfhydryl (SH) species forms fo

Cover Picture: Addressing the Metal Cent

Cover Picture: Addressing the Metal Centers of [2×2] CoII4 Grid-Type Complexes by STM/STS (Angew. Chem. Int. Ed. 48/2005)

✍ Mohammad Sahabul Alam; Stefan Strömsdörfer; Viacheslav Dremov; Paul Müller; Jens 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 1 views

A New Synthetic Method for the Preparati

A New Synthetic Method for the Preparation of α,β-Didehydroamino Acid Derivatives by Means of a Wittig-Type Reaction. Syntheses of (2S,4S)- and (2R,4R)-4-Hydroxyprolines.

✍ Rumi Kimura; Tanemasa Nagano; Hideki Kinoshita 📂 Article 📅 2003 🏛 John Wiley and Sons ⚖ 214 KB 👁 1 views

ChemInform Abstract: Stereodivergent Syn

ChemInform Abstract: Stereodivergent Synthesis of (2S,3S,4R,5R)- and (2S,3S,4R,5S)-[3,4,5-D3]Proline Depending on the Substituent of the γ-Lactam Ring.

✍ Makoto Oba; Akiko Miyakawa; Kozaburo Nishiyama; Tsutomu Terauchi; Masatsune Kain 📂 Article 📅 2010 🏛 John Wiley and Sons ⚖ 42 KB 👁 1 views

Studies on the synthesis of biphenylneol

Studies on the synthesis of biphenylneolignans. Part 1: Enantioselective synthesis of (S,S)- and (R,R)-2,2′-dimethoxy-4-(3-hydroxy-1-propenyl)-4′-(1,2,3-trihydroxypropyl)diphenyl ether

✍ Yi Yang; Chenglu Zhang; Guoren Yue; Pingyan Bie; Xinfu Pan 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Two erythro-isomers of 2,2%-dimethoxy-4-(3-hydroxy-1-propenyl)-4%-(1,2,3-trihydroxypropyl)diphenyl ether, (7%S, 8%S)-9 and (7%R, 8%R)-9, were synthesized in seven steps, in which an improved method for the synthesis of the key intermediate 3 was developed. The absolute configuration of the target mo