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Spanning Pre-Disks in a Compression Body

Spanning Pre-Disks in a Compression Body

Year:    2018

Author:    Liang Liang, Youfa Han, Fengling Li, Luying Zhao

Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 177–183

Abstract

A properly embedded essential planar surface P (not a disk) in a compression body V is called a spanning pre-disk with respect to J, if one boundary component of P is lying in +V and all other boundary components of P are lying in V and coplanar with J. In this paper, we show that the number of boundary components of spanning pre-disks in a compression body is unbounded. But the number of a maximal collection of spanning pre-disks is bounded.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2018.02.10

Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 177–183

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    spanning pre-disk curve complex compression body maximal collection

Author Details

Liang Liang Email

Youfa Han Email

Fengling Li Email

Luying Zhao Email