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Full-Text Articles in Physical Sciences and Mathematics
Some Problems In Equivariant Topology., Aniruddha C. Naolekar Dr.
Some Problems In Equivariant Topology., Aniruddha C. Naolekar Dr.
Doctoral Theses
This thesis has grown out of efforts to understand in an equivariant set up two old problems which were revived and developed extensively by Quillen, and also by others. The first problem concerns a de Rham type theorem over the field of rationals Q for a G-simplicial set where G is a finite group. The second problem deals with equivariant plus construction, classification of equivariant acyclic maps, and equivariant G-homotopy type of a G-space where G is a compact Lie group. More specifically, the content of the thesis is governed by the following two theorems, and our main objective is …
Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr.
Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr.
Doctoral Theses
This thosin in devoted to the study of aome probloms related to the inclusion of a pair of (usually hyperfinite) Ili factors R. Specifically, the following and the relation between them are studied:(a) pairs of graphs which can occur as principal grapha for NC M;(b) construction of commuting squares starting with a pair of finite graphs;(c) computation of the higher relative commutants of sublactorn con- structed from specific commuting squares.The first chapter is introductory in nature and is included for the sake of comploteness and convenience of reference. It contains a rather perfunctory description of the basic construction for a …