YANG INDEX OF THE DELETED PRODUCT

Abstract

Abstract. For any κ ≥ 1aκ-dimensional polyhedron Yκ is constructed such that the Yang index of its deleted product Y ∗ κ equals 2κ. This answers a question of Izydorek and Jaworowski (1995). For any κ ≥ 1a2κ-dimensional closed manifold M with involution is constructed such that index M =2κ, but M canbemappedintoaκ-dimensional polyhedron without antipodal coincidence. The deleted product of Y is the space Y ∗ = Y 2 \ ∆, where ∆ is the diagonal of Y 2. There is a natural free involution T (x, y) =(y, x) acting in Y ∗. Our goal is to compute the Yang index of the deleted product of some polyhedra (with respect to the involution T). In particular, we answer the question in [3] =2κ. It is of whether there exists a κ-dimensional polyhedron Yκ with index Y ∗ κ shown that the space Yκ =[∆2κ+2] κ has index Y ∗ κ =2κ

Similar works

Full text

thumbnail-image
oai:CiteSeerX.psu:10.1.1.205.6267Last time updated on 10/22/2014

This paper was published in CiteSeerX.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.