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References for Part A
References for Part A
Bing, R. H., Inequivalent families of periodic homeomorphisms E 3 , Ann. of Math. (2) 80 (1964), 78-93. Birman, J. S., and Hilden, H., Heegaard splittings of branched coverings of S 3 , Trans. Amer. Math. Soc. 213 (1975), 315-352. Bredon, G., “Introduction to Compact Transformation Groups.” Academic Press, New York, 1972. Brouwer, L. E. J.. Uber die periodischen transformationen der Kugel, Math. Ann. 80 (1919), 262-280. Cappell, S., and Shaneson, J., A note on the Smith conjecture, to appear. Crowell, R., and Fox, R. H., “An Introduction to Knot Theory,”2d ed. SpringerVerlag, Berlin and New York, 1977. Eilenberg, S., On the problems of topology, Ann. of Math. (2) 50 (1949), 247-260. Eilenberg, S., Sur les transformations periodiques de la surface du sphire, Fund. Math. 22 (1 934), 2 8 4 1 . Epstein, D. B. A,, Free products with amalgamations and 3-manifolds, Proc. Amer. Math. Soc. 12 (1961). 669-670. Feighn, M., On the generalized Smith conjecture, Ph.D. thesis, Columbia Univ., New York, 1981. Fox, R. H., On knots whose points are fixed under a periodic transformation of the 3-sphere, Osaka. J . Moth. 10 (1958), 31-35. Fox, R. H., Knots and periodic transformations, in “Topology of 3-manifolds” (M. K. Fort, Jr. ed.) pp. 177-182. Prentice-Hall, Englewood Cliffs, New Jersey, 1962. Fox, R. H., “Two theorems about periodic transformations of the 3-sphere,” Michigan Math. J . 14 (1967), 331-334. Giffen, C. H., Fibered knots and periodic transformations, Ph.D. thesis, Princeton Univ., Princeton, New Jersey, 1964. Giffen, C. H.,Thegeneralized Smithconjecture, Amer. J. Marh. 88(1966), 187-198. Giffen, C. H., Cyclic branched coverings of doubled curves in 3-manifolds, Illinois J . Math. 11 (1967). 644-646.
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18 [Ja-Shall [Jol
References for Part
A
Jaco. W., and S h a h . P.. Sei/err,fibered spaces in 3-manifolds, Mem. Amer. Math. Soc., No. 220 (1979). Johannson, K., “Homotopy Equivalences of 3-manifolds with Boundary.’’ Lecture Notes in Mathematics, Vol. 761. Springer-Verlag, Berlin and New York, 1979. Kerekjarto. 6..U ber die periodischen Transformationen der Kreisschube und Kugelfiache, Math. Ann. 80 (1919), 36-38. Kinoshita, Shin’ichi, On knots and periodic transformations, Osaka J . Math., 10 (1958). 43-52. Kneser. H., Geschlossen Rachen in dreidimensionalen Mannigfaltigkeiten, Jahreshcv. Deutsch. Math. Verein. 38 ( 1 929). 248-260. Moise, E.. Periodic homeomorphisms of the 3-sphere, Illinois J . Moth. 6 (1962), 206-225. Moise. E., Statically tame periodic homeomorphisms of compact. connected 3-manifolds I : Homeomorphisms conjugate to rotations of the 3-sphere, preprint. Montgomery, D., and Samelson, H., A theorem on fixed points of involutions in S’, Canud. .IMath. . 7 (1955). 208-220. Montgomery, D.. and Zippen, L.. Examples of transformation groups, Proc. Amer. Math. SOC.5 ( 1954),460-465. Myers, R..Companionship of knots and the Smith conjecture. Ph.D. thesis. Rice Univ.. Houston, Texas, 1977. Papakyriakopoulos, C . D.. On Dehn’s lemma and the asphericity of knots, Ann. q / M ~ t h(2) . 66 (1957), 1-26. Smith. P. A.. Transformations of finite period, Ann. of Math. (2) 39 (1938). 127- 164. Smith. P. A.. Transformations of finite period 11, Ann. of Math. ( 2 ) 40 (l939), 690-7 I I , Smith. P. A.. Transformations of finite period 111, Ann. of Math. (2) 42 (1941). 446-45 8. Smith. P. A., Periodic transformations of 3-manifolds, Illinois J . Math. 9 (1965), 343-348. Waldhausen. F.. Uber Involutionen der 3-Sphare, Topology 8 (1969), 81-91.
Bing, R. H., Inequivalent families of periodic homeomorphisms E 3 , Ann. of Math. (2) 80 (1964), 78-93. Birman, J. S., and Hilden, H., Heegaard splittings of branched coverings of S 3 , Trans. Amer. Math. Soc. 213 (1975), 315-352. Bredon, G., “Introduction to Compact Transformation Groups.” Academic Press, New York, 1972. Brouwer, L. E. J.. Uber die periodischen transformationen der Kugel, Math. Ann. 80 (1919), 262-280. Cappell, S., and Shaneson, J., A note on the Smith conjecture, to appear. Crowell, R., and Fox, R. H., “An Introduction to Knot Theory,”2d ed. SpringerVerlag, Berlin and New York, 1977. Eilenberg, S., On the problems of topology, Ann. of Math. (2) 50 (1949), 247-260. Eilenberg, S., Sur les transformations periodiques de la surface du sphire, Fund. Math. 22 (1 934), 2 8 4 1 . Epstein, D. B. A,, Free products with amalgamations and 3-manifolds, Proc. Amer. Math. Soc. 12 (1961). 669-670. Feighn, M., On the generalized Smith conjecture, Ph.D. thesis, Columbia Univ., New York, 1981. Fox, R. H., On knots whose points are fixed under a periodic transformation of the 3-sphere, Osaka. J . Moth. 10 (1958), 31-35. Fox, R. H., Knots and periodic transformations, in “Topology of 3-manifolds” (M. K. Fort, Jr. ed.) pp. 177-182. Prentice-Hall, Englewood Cliffs, New Jersey, 1962. Fox, R. H., “Two theorems about periodic transformations of the 3-sphere,” Michigan Math. J . 14 (1967), 331-334. Giffen, C. H., Fibered knots and periodic transformations, Ph.D. thesis, Princeton Univ., Princeton, New Jersey, 1964. Giffen, C. H.,Thegeneralized Smithconjecture, Amer. J. Marh. 88(1966), 187-198. Giffen, C. H., Cyclic branched coverings of doubled curves in 3-manifolds, Illinois J . Math. 11 (1967). 644-646.
17
18 [Ja-Shall [Jol
References for Part
A
Jaco. W., and S h a h . P.. Sei/err,fibered spaces in 3-manifolds, Mem. Amer. Math. Soc., No. 220 (1979). Johannson, K., “Homotopy Equivalences of 3-manifolds with Boundary.’’ Lecture Notes in Mathematics, Vol. 761. Springer-Verlag, Berlin and New York, 1979. Kerekjarto. 6..U ber die periodischen Transformationen der Kreisschube und Kugelfiache, Math. Ann. 80 (1919), 36-38. Kinoshita, Shin’ichi, On knots and periodic transformations, Osaka J . Math., 10 (1958). 43-52. Kneser. H., Geschlossen Rachen in dreidimensionalen Mannigfaltigkeiten, Jahreshcv. Deutsch. Math. Verein. 38 ( 1 929). 248-260. Moise, E.. Periodic homeomorphisms of the 3-sphere, Illinois J . Moth. 6 (1962), 206-225. Moise. E., Statically tame periodic homeomorphisms of compact. connected 3-manifolds I : Homeomorphisms conjugate to rotations of the 3-sphere, preprint. Montgomery, D., and Samelson, H., A theorem on fixed points of involutions in S’, Canud. .IMath. . 7 (1955). 208-220. Montgomery, D.. and Zippen, L.. Examples of transformation groups, Proc. Amer. Math. SOC.5 ( 1954),460-465. Myers, R..Companionship of knots and the Smith conjecture. Ph.D. thesis. Rice Univ.. Houston, Texas, 1977. Papakyriakopoulos, C . D.. On Dehn’s lemma and the asphericity of knots, Ann. q / M ~ t h(2) . 66 (1957), 1-26. Smith. P. A.. Transformations of finite period, Ann. of Math. (2) 39 (1938). 127- 164. Smith. P. A.. Transformations of finite period 11, Ann. of Math. ( 2 ) 40 (l939), 690-7 I I , Smith. P. A.. Transformations of finite period 111, Ann. of Math. (2) 42 (1941). 446-45 8. Smith. P. A., Periodic transformations of 3-manifolds, Illinois J . Math. 9 (1965), 343-348. Waldhausen. F.. Uber Involutionen der 3-Sphare, Topology 8 (1969), 81-91.