# Classifications of simplicial triangulations of topological manifolds

@inproceedings{Galewski1976ClassificationsOS, title={Classifications of simplicial triangulations of topological manifolds}, author={David E. Galewski and Ronald J. Stern}, year={1976} }

- Published 1976
DOI:10.1090/s0002-9904-1976-14214-0

In this note we announce theorems which classify simplicial (not necessarily combinatorial) triangulations of a given topological «-manifold M, n > 7 (> 6 if dM = 0 ) , in terms of homotopy classes of lifts of the classifying map r: M —• BTOP for the stable topological tangent bundle of M to a classifying space BTRIn which we introduce below. The (homotopic) fiber of the natural map ƒ: BTRIn —• BTOP is described in terms of certain groups of PL homology 3spheres. We also give necessary and… CONTINUE READING

#### Citations

##### Publications citing this paper.

SHOWING 1-6 OF 6 CITATIONS

## THE TRIANGULATION OF MANIFOLDS

VIEW 4 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## G T ] 1 8 A pr 2 01 3 Aspherical manifolds that cannot be triangulated

VIEW 1 EXCERPT

CITES BACKGROUND

## Aspherical manifolds that cannot be triangulated

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-2 OF 2 REFERENCES

## Any embedding of S~* in S(n > 5) can be approximated by locally flat embeddings

## The double suspension of a certain homology 3-sphere is S

VIEW 1 EXCERPT