Title : ( On the capacity and depth of compact surfaces )
Authors: mahboubeh abbasi , Behrooz Mashayekhy Fard ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
K. Borsuk in 1979, at the Topological Conference in Moscow, introduced the concept of capacity and depth of a compactum. In this paper we compute the capacity and depth of compact surfaces. We show that the capacity and depth of every compact orientable surface of genus g ≥ 0 is equal to g + 2. Also, we prove that the capacity and depth of a compact non-orientable surface of genus g > 0 is [ g/ 2] + 2.
Keywords
, Capacity, Compact surface, Homotopy domination, Homotopy type, Eilenberg–MacLane space, Polyhedron
@article{paperid:1079909,
author = {Abbasi, Mahboubeh and Mashayekhy Fard, Behrooz},
title = {On the capacity and depth of compact surfaces},
journal = {Journal of Homotopy and Related Structures},
year = {2020},
volume = {15},
number = {2},
month = {June},
issn = {2193-8407},
pages = {301--308},
numpages = {7},
keywords = {Capacity; Compact surface; Homotopy domination; Homotopy type; Eilenberg–MacLane space; Polyhedron},
}
%0 Journal Article
%T On the capacity and depth of compact surfaces
%A Abbasi, Mahboubeh
%A Mashayekhy Fard, Behrooz
%J Journal of Homotopy and Related Structures
%@ 2193-8407
%D 2020
