On the connectedness theorem on schemes over local domains

Extension of the Douady-Hubbard's Theorem on Connectedness of the Mandelbrot Set to Symmetric Polynimials

On the Theorem of Bertini for Local Domains.

v1(°'(t), we obtain a system of linear equations whose solution is clearly xi = x,(°'. It follows that a set of forcing functions which minimize G subject to the linear equations of (2.1), together with the original constraints, yields a value of G which is at most G(x1(P)(T), . . . , xv(z)(T)). The general result follows inductively. This monotonicity is not surprising, since we are using the ...

Remarks on Punctual Local Connectedness

We study the condition, on a connected and locally connected geometric morphism p : E → S, that the canonical natural transformation p∗ → p! should be (pointwise) epimorphic — a condition which F.W. Lawvere [11] called the ‘Nullstellensatz’, but which we prefer to call ‘punctual local connectedness’. We show that this condition implies that p! preserves finite products, and that, for bounded mo...

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 ...

The Eilenberg-watts Theorem over Schemes

We describe obstructions to a direct limit preserving right exact functor between categories of quasi-coherent sheaves on schemes being isomorphic to tensoring with a bimodule. When the domain scheme is affine, all obstructions vanish and we recover the Eilenberg-Watts Theorem. We use our description of these obstructions to prove that if a direct limit preserving right exact functor F from a s...