Interpreter for topologists

Outline of Math 623; Topics in Geometric Topology: Manifold Theory

The basic topic will be the classification of manifolds with a focus on surgery theory; the classification of high dimensional manifolds. I will, however, cover topics of interest to low-dimensional topologists and algebraic topologists. The prerequisites are Math 521 and 522, in other words singular homology theory, CW complexes, fundamental group, and covering spaces. But familiarity with the...

When Topologists Are Politicians...

جایگاه روایت در تفسیر تسنیم

Tasneem, the Holy Qurān interpretation, is a comprehensive and contemporary exegesis that approaches the Holy Qurān with a multilateral perspective. Moreover, the moral character and comprehensive knowledge of the writer necessitate more attention to this unique exegesis. The interpreter has endeavored to present a pure Qurānic exegesis, yet narration has been used extensively in his exegesis. ...

g*Λ Closed Sets in Topological Space

The generalized closed sets in point set topology have been found considerable interest among general topologists. In this paper, we introduce and study topological properties of g*Λ closed and open sets and its relationships with other generalized closed sets are investigated.

Madsen-Weiss for geometrically minded topologists

We give an alternative proof of Madsen-Weiss’ generalized Mumford conjecture. Our proof is based on ideas similar to Madsen-Weiss’ original proof, but it is more geometrical and less homotopy theoretical in nature. At the heart of the argument is a geometric version of Harer stability, which we formulate as a theorem about folded maps.