▼ chaincon | |
algcell.h | An abstract algebraic cell |
ammodel.h | Computation of the algebraic minimal model using the SNF |
atmodel.h | Algebraic topological model computation: An interface to all the algorithms available in this package |
atmodel0.h | Algebraic topological model computation: Algorithm 0, very slow; combinatorial version - for coefficients in Z_2 |
atmodel1.h | Algebraic topological model computation: Algorithm 1, new version, but still without computing the transpose of the projection; combinatorial version - for coefficients in Z_2 |
atmodel2.h | Algebraic topological model computation: Algorithm 2, new version, with computing the transpose of the projection (faster); combinatorial version - for coefficients in Z_2 |
atmodel2r.h | Algebraic topological model computation: Algorithm 2, new version, with computing the transpose of the projection (faster); version for an arbitrary commutative ring of coefficients |
atmodel3.h | Algebraic topological model computation: Algorithm 3, using the SNF; combinatorial version - for coefficients in Z_2 |
atmodel3r.h | Algebraic topological model computation: Algorithm 3, using the SNF; version for an arbitrary commutative ring of coefficients |
atmodel4r.h | Algebraic topological model computation: Algorithm 4, using the SNF; version for an arbitrary commutative ring of coefficients |
awdiag.h | Alexander-Whitney diagonal of a chain |
awdiagcub.h | A cubical version of the Alexander-Whitney diagonal |
awdiagcubs.h | A cubical version of the Alexander-Whitney diagonal, based on simplicial subdivision of cubical cells |
awdiagsim.h | A simplicial version of the Alexander-Whitney diagonal |
awdiagsimgen.h | A version of the Alexander-Whitney diagonal for general simplicial sets |
boundary.h | Boundary computation at the level of chains of cells |
cellnames.h | A class for naming cells for nice text data output |
chain.h | A chain with coefficients in an arbitrary commutative ring |
combchain.h | A combinatorial chain, that is, a chain with Z_2 coefficients |
comblinmap.h | A combinatorial linear map (for coefficients in Z_2) |
combtensor.h | A combinatorial tensor (for coefficients in Z_2) |
cring.h | Computation of the cohomology ring |
cubcell.h | A cubical cell |
cubproduct.h | A function that converts a cubical cell into a simplicial set that corresponds to the cartesian product of intervals |
emptycell.h | The decision on whether the empty cell should be used as a valid cell of dimension -1 |
euclwrap.h | A wrapper of a generic coefficient type for the CHomP library |
extarray.h | An extendible array |
ez_aw.h | The Alexander-Whitney operator as a component of the Eilenberg-Zilber chain contraction |
ez_eml.h | The Eilenberg-Mac Lane operator as a component of the Eilenberg-Zilber chain contraction |
ez_shi.h | The Shih operator as a component of the Eilenberg-Zilber chain contraction |
filtcomplex.h | A filtered cell complex |
homcohom.h | Computation of the (co)homology groups of an algebraic minimal model |
linmap.h | A linear map for coefficients in an arbitrary commutative ring |
pair.h | A pair of elements |
prodcell.h | A Cartesian product of simplicial cells of arbitrary type |
readfcompl.h | A generic procedure for reading a filtered cell complex or a pair of filtered cell complexes from text files |
remordered.h | A utility procedure for removing an ordered set from another ordered set |
ringz2.h | Elements of the ring Z_2 |
ringzp.h | Elements of the ring Z_p |
setfilter.h | A function that creates a filter from a set of cells of different dimensions |
shuffles.h | An iterator of shuffles |
simplex.h | A simplex class with arbitrary vertices |
simplset.h | A simplicial set |
snf.h | This file includes a specific interface to an SNF computation algorithm |
snfchomp.h | An interface to the SNF computation using the CHomP software package |
ssquarescub.h | Computation of the Steenrod squares for cubical cells |
ssquaressim.h | Computation of the Steenrod squares for simplicial cells |
stringhash.h | Hashing keys for std::string |
tensor.h | A tensor of chains with coefficients in an arbitrary commutative ring |
wrapping.h | Tools for coordinate wrapping, a.k.a |
ammodcomp.h | A generic procedure for the computation of an algebraic minimal model of a filtered cell complex stored in a file |
ammodcub.cpp | A program for the computation of algebraic minimal models for cubical sets |
ammodmain.h | The main function of a program for computing the minimal model of a cellular complex of a given type |
ammodsim.cpp | A program for the computation of algebraic minimal models for simplicial complexes |
atmodcomp.h | A generic procedure for the computation of chain contraction of a filtered cell complex stored in a file |
atmodcub.cpp | A program for the computation of cubical algebraic topological model |
atmodmain.h | The main procedure for a program for the computation of an algebraic topological model |
atmodsim.cpp | A program for the computation of simplicial algebraic topological model |
awdiag1cub.cpp | A program for the computation of the Alexander-Whitney diagonal for a single cubical cell |
awdiag1sim.cpp | A program for the computation of the Alexander-Whitney diagonal for a single simplex |
awdiag2dcomp.h | A generic procedure for the Alexander-Whithey diagonal computation for 2-dimensional homology generators |
awdiag2dcub.cpp | A program for the computation of the Alexander-Whitney diagonal for cubical complexes, using Serre's formula |
awdiag2dcubs.cpp | A program for the computation of the Alexander-Whitney diagonal for cubical complexes, using simplicial subdivision |
awdiag2dmain.h | The main procedure of a generic program for the computation of the Alexander-Whitney diagonal |
awdiag2dsim.cpp | A program for the computation of the Alexander-Whitney diagonal for simplicial complexes |
cringcomp.h | A generic procedure for the computation of the cohomology ring structure for an algebraic minimal model |
cringcub.cpp | A program for the computation of the cohomology ring structure with the cup product, using algebraic minimal models for cubical sets |
cringmain.h | The main function of a program for computing the cubical cohomology ring of a cellular complex of a given type |
cringsim.cpp | A program for the computation of the cohomology ring structure with the cup product, using algebraic minimal models for simplicial complexes |
cub2sim.cpp | A program that saves a simplicial set obtained from a cubical set by means of simplicial subdivision |
cubsimprod.cpp | An experimental program for the computation of certain invariants of cubical sets represented by means of simplicial product sets |
emptycell.cpp | A global variable of the settable decision class on whether the empty cell should be used as a valid cell of dimension -1 |
experiment1.cpp | A program for experimentation with the formula for the A-W diagonal |
experiment2.cpp | A program for experimentation with the formulas for the E-Z chain contraction: AW, EML, SHI |
mainpage.h | The main page for the source code documentation |
ssqcomp.h | A generic procedure for the computation of the Steenrod squares for an algebraic topological model |
ssqcub.cpp | A program for the computation of the Steenrod squares, using algebraic minimal models for cubical sets and the direct formula by Marek Krcal |
ssqcubs.cpp | A program for the computation of the Steenrod squares, using algebraic minimal models for cubical sets |
ssqmain.h | The main function of a program for computing the Steenrod squares of a simplicial complex or a cubical complex |
ssqsim.cpp | A program for the computation of the Steenrod squares, using algebraic minimal models for simplicial complexes |
testshuffles.cpp | A simple program for showing the shuffles |