Regina Calculation Engine
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Represents a blocked Seifert fibred space (possibly with boundary). More...
#include <subcomplex/blockedsfs.h>
Public Member Functions | |
~BlockedSFS () | |
Destroys this structure and its constituent components. More... | |
const SatRegion & | region () const |
Returns details of the single saturated region that fills this triangulation. More... | |
bool | isPluggedIBundle (std::string &name) const |
Determines whether this triangulation is a plugged thin I-bundle or a plugged thick I-bundle. More... | |
Manifold * | manifold () const override |
Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. More... | |
std::ostream & | writeName (std::ostream &out) const override |
Writes the name of this triangulation as a human-readable string to the given output stream. More... | |
std::ostream & | writeTeXName (std::ostream &out) const override |
Writes the name of this triangulation in TeX format to the given output stream. More... | |
void | writeTextLong (std::ostream &out) const override |
Writes a detailed text representation of this object to the given output stream. More... | |
std::string | name () const |
Returns the name of this specific triangulation as a human-readable string. More... | |
std::string | TeXName () const |
Returns the name of this specific triangulation in TeX format. More... | |
virtual AbelianGroup * | homology () const |
Returns the expected first homology group of this triangulation, if such a routine has been implemented. More... | |
AbelianGroup * | homologyH1 () const |
Returns the expected first homology group of this triangulation, if such a routine has been implemented. More... | |
virtual void | writeTextShort (std::ostream &out) const |
Writes a short text representation of this object to the given output stream. More... | |
std::string | str () const |
Returns a short text representation of this object. More... | |
std::string | utf8 () const |
Returns a short text representation of this object using unicode characters. More... | |
std::string | detail () const |
Returns a detailed text representation of this object. More... | |
Static Public Member Functions | |
static BlockedSFS * | isBlockedSFS (Triangulation< 3 > *tri) |
Determines if the given triangulation is a blocked Seifert fibred space. More... | |
static StandardTriangulation * | isStandardTriangulation (Component< 3 > *component) |
Determines whether the given component represents one of the standard triangulations understood by Regina. More... | |
static StandardTriangulation * | isStandardTriangulation (Triangulation< 3 > *tri) |
Determines whether the given triangulation represents one of the standard triangulations understood by Regina. More... | |
Represents a blocked Seifert fibred space (possibly with boundary).
This is a particular type of triangulation of a Seifert fibred space, where this triangulation is formed from a single saturated region. A saturated region is in turn formed from saturated blocks by identifying their boundary annuli in pairs; see the SatRegion class for details.
Note that the routines writeName() and writeTeXName() do not offer enough information to uniquely identify the triangulation, since this essentially requires a 2-dimensional assembling of saturated blocks. For full detail, writeTextLong() may be used instead.
The optional StandardTriangulation routine manifold() is implemented for this class, but homology() is not.
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inherited |
Returns a detailed text representation of this object.
This text may span many lines, and should provide the user with all the information they could want. It should be human-readable, should not contain extremely long lines (which cause problems for users reading the output in a terminal), and should end with a final newline. There are no restrictions on the underlying character set.
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inherited |
Returns a short text representation of this object.
This text should be human-readable, should fit on a single line, and should not end with a newline. Where possible, it should use plain ASCII characters.
__str__()
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inherited |
Returns a short text representation of this object using unicode characters.
Like str(), this text should be human-readable, should fit on a single line, and should not end with a newline. In addition, it may use unicode characters to make the output more pleasant to read. This string will be encoded in UTF-8.