On the various notions of Poincaré duality pair

Poincaré Duality Algebras Mod Two

survey on the rule of the due & hindering relying on the sheikh ansaris ideas

قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...

Poincaré duality in dimension 3 CT

The paper gives a review of progress towards extending the Thurston programme to the Poincaré duality case. In the first section, we fix notation and terminology for Poincaré complexes X (with fundamental group G) and pairs, and discuss finiteness conditions. For the case where there is no boundary, π2 is non-zero if and only if G has at least 2 ends: here one would expect X to split as a conne...

Remark on Poincaré duality for SU q ( 2 ) Partha

Let A be the C∗-algebra associated with SUq(2), J be the modular conjugation coming from the Haar state and let D be the generic equivariant Dirac operator for SUq(2). We prove in this article that there is no element in JAJ , other than the scalars, that have bounded commutator with D. This shows in particular that JAJ does not contain any Poincaré dual for SUq(2). AMS Subject Classification N...

Poincaré Duality and Periodicity, Ii. James Periodicity

Let K be a connected finite complex. This paper studies the problem of whether one can attach a cell to some iterated suspension ΣK so that the resulting space satisfies Poincaré duality. When this is possible, we say that ΣK is a spine. We introduce the notion of quadratic self duality and show that if K is quadratically self dual, then ΣK is a spine whenever j is a suitable power of two. The ...