Combinatorics of Topological Posets
نویسندگان
چکیده
منابع مشابه
Combinatorics of Topological Posets: Homotopy Complementation Formulas
We show that the well known homotopy complementation formula of Björner andWalker admits several closely related generalizations on different classes of topological posets (lattices). The utility of this technique is demonstrated on some classes of topological posets including the Grassmannian and configuration posets, G̃n(R) and expn(X) which were introduced and studied by V. Vassiliev. Among o...
متن کاملAlgorithmic Combinatorics Based on Slicing Posets
Authors retain or are hereby granted (without the need to obtain further permission) rights to use the article for traditional scholarship communications, for teaching, and for distribution within their institution, as set out in the General Terms of Publication (see note 1), and also agree to the other terms.
متن کاملTrends in Topological Combinatorics
I was the shadow of the waxwing slain By the false azure in the windowpane; I was the smudge of ashen fluff-and I Lived on, flew on, in the reflected sky. PREFACE This thesis is thought to be reflective of the transformation, mistily rendered in the citation on the previous page, which has taken place in me since I have handed in my Ph.D. thesis in the spring of 1996. If this transformation, no...
متن کاملTopological Combinatorics" A Peaceful Pursuit
The diversion of science to destructive purposes is as old as science itself. The observation that a club, knife, spear or arrow useful to bring down an animal could be used to similar effect against "the enemy" in the next village was readily perverted to the design of weapons strictly for anti-personnel purposes. Even while enhancing the human condition, science has degraded and brutalized it...
متن کاملA Brief Glimpse of Topological Combinatorics
Lovazs’ proof of the Kneser Conjecture presents a beautiful application of Borsuk-Ulam Theorem, a purely topological result, to a combinatorial problem on finite graphs. Moreover, Kneser-Lovasz Theorem is far from being the only case in which a combinatorial problem admits as a solution that uses topological techniques. It is rather surprising that the study of continuous maps would yield elega...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1998
ISSN: 0196-8858
DOI: 10.1006/aama.1998.0604