Blowdown, k-wedge and evenness of quasitoric orbifolds

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2024-05-15 DOI:10.1016/j.topol.2024.108953

Koushik Brahma, Soumen Sarkar, Subhankar Sau

引用次数: 0

Abstract

In this paper, we introduce polytopal k-wedge construction and blowdown of a simple polytope and inspect the effect on the retraction sequence of a simple polytope due to the k-wedge construction and blowdown. In relation to these constructions, we introduce the k-wedge and blowdown of a quasitoric orbifold. We compare the torsions in the integral cohomologies of k-wedges and blowdowns of a quasitoric orbifold with the original one. These two constructions provide infinitely many integrally equivariantly formal quasitoric orbifolds from a given one.

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准轨道折线的坍缩、K边和偶数性

在本文中，我们介绍了简单多面体的多边形 k 边构造和吹缩，并考察了由于 k 边构造和吹缩对简单多面体回缩序列的影响。关于这些构造，我们介绍了准球面的 k 边和吹倒。我们比较了类球面的 k 边和 blowdown 的积分同调中的扭转与原始扭转。这两种构造提供了从给定的等价形式类球面出发的无限多个积分等价形式类球面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

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Editorial Board The Rudin-Kiesler pre-order and the Pixley-Roy spaces over ultrafilters The uniform convergence topology on separable subsets Relatively functionally countable subsets of products Extendability to Marczewski-Burstin countably representable ideals