no. 3
Hereditary circuit spaces
Compositio Mathematica, Tome 37 (1978) no. 3, pp. 339-351. 
@article{CM_1978__37_3_339_0,
     author = {Bryant, V. W. and Dawson, J. E. and Perfect, Hazel},
     title = {Hereditary circuit spaces},
     journal = {Compositio Mathematica},
     pages = {339--351},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {37},
     number = {3},
     year = {1978},
     mrnumber = {511749},
     zbl = {0399.05016},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1978__37_3_339_0/}
}
TY  - JOUR
AU  - Bryant, V. W.
AU  - Dawson, J. E.
AU  - Perfect, Hazel
TI  - Hereditary circuit spaces
JO  - Compositio Mathematica
PY  - 1978
SP  - 339
EP  - 351
VL  - 37
IS  - 3
PB  - Sijthoff et Noordhoff International Publishers
UR  - http://archive.numdam.org/item/CM_1978__37_3_339_0/
LA  - en
ID  - CM_1978__37_3_339_0
ER  - 
%0 Journal Article
%A Bryant, V. W.
%A Dawson, J. E.
%A Perfect, Hazel
%T Hereditary circuit spaces
%J Compositio Mathematica
%D 1978
%P 339-351
%V 37
%N 3
%I Sijthoff et Noordhoff International Publishers
%U http://archive.numdam.org/item/CM_1978__37_3_339_0/
%G en
%F CM_1978__37_3_339_0
Bryant, V. W.; Dawson, J. E.; Perfect, Hazel. Hereditary circuit spaces. Compositio Mathematica, Tome 37 (1978) no. 3, pp. 339-351. http://archive.numdam.org/item/CM_1978__37_3_339_0/

[1] G. Birkhoff: Combinatorial relations in projective geometries. Ann. Math., 36 (1935) 743-748. | JFM | MR | Zbl

[2] G. Birkhoff: Lattice Theory (3rd Ed.). American Mathematical Society Colloquium Publications, 1967. | MR | Zbl

[3] V.W. Bryant and J.E. Dawson: Designs and circuit bases. Archiv der Math. (to appear). | MR | Zbl

[4] V.W. Bryant and H. Perfect: Some characterization theorems for circuit spaces associated with graphs. Discrete Math; 18 (1977) 109-124. | MR | Zbl

[5] H.H. Crapo and G.-C. Rota: Combinatorial Geometries. M.I.T. Press, 1970. | MR | Zbl

[6] J.E. Dawson: Balanced sets and circuits in a transversal space. J. Comb. Theory Ser. B; 23 (1977) 14-23. | MR | Zbl

[7] H. Hadwiger, H.E. Debrunner and V. Klee: Combinatorial Geometry in the Plane. Holt, Rinehart and Winston, 1964. | MR

[8] A.W. Ingleton and M.J. Piff: Gammoids and transversal matroids. J. Comb, Theory, 15 (1973) 51-68. | MR | Zbl

[9] F. Maeda and S. Maeda: Theory of Symmetric Lattices. Springer-Verlag, 1970. | MR | Zbl

[10] L. Mirsky: Transversal Theory. Academic Press, 1971. | MR | Zbl

[11] Th. Motzkin: The lines and planes connecting the points of a finite set. Trans. Amer. Math. Soc., 70 (1951) 451-464. | MR | Zbl

[12] U.S.R. Murty: Sylvester matroids. Recent progress in Combinatorics, Wiley, 1969, 283-286. | MR | Zbl

[13] U.S.R. Murty: Matroids with Sylvester property. Aequat. Math., 4 (1970) 44-50. | MR | Zbl

[14] H. Perfect: Notes on circuit spaces: J. Math. Anal. & Applic., 54 (1976) 530-537. | MR | Zbl

[15] M.J. Piff and D.J.A. Welsh: On the vector representation of matroids. J. London Math. Soc., (2)2 (1970) 284-288. | MR | Zbl

[16] D.E. Rutherford: Introduction to Lattice Theory, Oliver and Boyd. 1965. | MR | Zbl

[17] P. Vámos: On the representation of independence structures. (Unpublished).

[18] P. Vámos: The importance of finiteness of Sylvester matroids. (Not yet published).

[19] D.J.A. Welsh: Matroid Theory. Academic Press, 1976. | MR | Zbl