Simplicial Homology, a (proposed) GAP share package

• FUNCTIONALITIES:
  • Calculate simplicial homology of finite simplicial complexes (with integer coefficients)
  • Apply classical constructors and modifiers from algebraic topology to simplicial complexes
  • Construct and modify order complexes of finite partially ordred sets. Important classes of partially ordred sets from combinatorics and finite group theory are implemented.
  • Calculate the Smith-Normal-form of a sparse integer matrix (this is part of the homology computations but can be applied to any matrix of interest). Four algorithms (deterministic and probabilitic) are implemented.


• COMPLETE MANUAL: dvi (35 Kb), Postscript (171 Kb), Adobe Acrobat (245 Kb).


• REMOTE USAGE:
  The package may be tried out by submitting gap/homology commands via this form SimplicialHomologyForm.html and receiving results via the web or email. This facility is in beta test.


• BINARY DOWNLOAD:
  As the compilation process requires a lot of new GNU features, some binaries are available and these architectures are currently supported:
  • i686-pc-linux-gnu, version 1.4.3 (797 Kb),
  • i686-pc-cygwin-gcc, version 1.4.3 (1349 Kb),
  • i686-pc-linux-gnu, version 1.4.2 (780 Kb),
  • i686-pc-linux-gnu, version 1.4.1 (716 Kb),
  • i686-pc-linux-gnu, version 1.1 beta (805 Kb),
  • i686-pc-linux-gnu (775 Kb),
  • SGI_IRIX6.5, version 1.1 beta (1500 Kb, thanks to Malcolm Tobias),
  • UltraSparc (694 Kb).


• SOURCE DOWNLOAD:
  Sources for this GAP package are also available:
  • homology-1.4.3.tgz ( 254 Kb, Last update: Friday, July 4th 2008 ).
  • homology-1.4.2.tgz ( 254 Kb, Final update: Thursday October 21, 2004 ).
  • homology-1.4.1.tgz ( 284 Kb, Final update: Monday July 7, 2003 ).
  • homology-1.0.tgz ( 157 Kb, Final update: Saturday August 4, 2001 ).


• REQUIREMENTS:
  This package requires GAP, the GNU C++ and Pascal (G++, GPC) compilers, the GNU Multi-Precision Library (GMP) and GNU make (make). The required versions are GAP 4, G++ 2.95, GPC 19990118 (beta), GMP 2.0.2, and any fairly recent version of make. They can be obtained e.g. from the following web sites:
  

  GAP	: http://www-gap.dcs.st-and.ac.uk/~gap
  g++	: http://gcc.gnu.org
  gpc	: http://www.gnu-pascal.de
  Gmp	: http://gmplib.org
  Gnu make	: http://www.gnu.org/software/make



• USAGE:
  After extracting the binary archive file to GAP home directory, run GAP and execute this gap command:
  

  RequirePackage("homology");



• INSTALLATION:
  To install this share package (after extracting the package's archive file to the GAP home directory) go to the directory `pkg/homology' (the directory containing this README file) and call
  

  /bin/sh ./configure

  If the default parameters do not suit you call:
  

  /bin/sh ./configure --help

  and follow the instructions to change parameters.
  If you want to use GMP only for compiling this package you should first install it, for instance in the default path searched by 'configure': `pkg/homology/src/Gmp/gmp-2.0.2'.
  Afterwards call `make' (or 'gmake' GNU make) to compile the binary.
  

  make all

  If you installed GAP on several architectures, you must execute this configure/make step for the ``homology'' share package on each of the architectures immediately after configuring GAP itself on this architecture.
  

Last update: Friday, July 4th 2008