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International Conference on Statistics, Combinatorics and Related Areas - 7th International Conference of the Forum for Interdisciplinary Mathematics
December 19-21, 2000
Indian Institute of Technology-Bombay
Mumbai, Maharastra, India

Organizers
Satya N. Mishra (University of South Alabama), Sanjeev V. Sabnis (IIT, Bombay)

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The Induced Partial Order on the Set of Finite Subsets of a Partially Ordered Set
by
N.M. Singhi
School of Mathematics, TIFR, Homi Bhabha Road, Mumbai 400 005, India
Coauthors: N. Usha Devi (Mannar Thirumalai Naickar College, Madurai 625004, India), G. R. Vijaykumar (School of Mathematics, TIFR, Homi Bhabha Road, Mumbai 400 005, India)

Let (X, <= ) be a partially ordered set and \chi be the set of all finite subsets of X. We define a relation \preceq as follows: For any A, B in \chi, A \preceq B if there is a one-to-one mapping \theta : A --> B such that for all x in A, x <= \theta(x). The relation \preceq turns out to be a partial order on \preceq. We study the interrelations between these two orders and find out a few properties shared by both.

Date received: November 15, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafx-09.