E. D. Tymchatyn
Department of Mathematics
and Statistics
University of Saskatchewan
106 Wiggins Road
Saskatoon, SK, S7N 5E6, Canada
Office: 231 McLean Hall
Phone: (306) 966-6113
Fax: (306) 966-6086
>email:
tymchat@math.usask.ca
Research interests: Topology; continuum theory
Papers:
- Song, Jianwei; Tymchatyn, E. D.: Free spaces. Fund. Math.
163 (2000), no. 3, 229-239.
- Kato, H.; Kawamura, K.; Tuncali, H. M.; Tymchatyn, E.
D.: Measures and topological dynamics on
Menger manifolds. Topology Appl. 103 (2000), no. 3, 249-282.
- Kawamura, K.; Levin, M.; Tymchatyn, E. D.: A
characterization of 1-dimensional Noebeling spaces.
Proceedings of the 12th Summer Conference on General Topology and its
Applications (North Bay, ON, 1997). Topology
Proc. 22 (1997), Summer, 155-174.
- Proceedings of the 12th Summer Conference on General
Topology and its Applications. Held at
Nipissing University, North Bay, ON, 1997. Edited by Robert C. Flagg,
Klaas Pieter Hart, Jeff Norden, Edward D.
Tymchatyn and Murat Tuncali. Topology Proc. 22 (1997), Summer.
Topology Proceedings, Auburn, AL, 1997. pp. i-iv
and 1-608.
- Levin, M.; Tymchatyn, E. D.: On the dimension of almost
n-dimensional spaces. Proc. Amer. Math.
Soc. 127 (1999), no. 9, 2793-2795.
- Tymchatyn, E. D.; Yang, Chang-Cheng: Characterizing
continua by disconnection properties. Canad.
Math. Bull. 41 (1998), no. 3, 348-358.
- Tymchatyn, E. D.; Walker, Russell B.: Taming the Cantor
fence. Topology Appl. 83 (1998), no. 1,
45-52.
- Kawamura, Kazuhiro; Tymchatyn, Edward D.: Dimensions of
hereditarily indecomposable continua.
Bull. Polish Acad. Sci. Math. 43 (1995), no. 2, 101-104.
- Kawamura, K.; Tymchatyn, E. D.: Continua which admit no
mean. Colloq. Math. 71 (1996), no. 1,
97-105.
- Kawamura, Kazuhiro; Oversteegen, Lex G.; Tymchatyn,
E. D.: On homogeneous totally disconnected
1-dimensional spaces. Fund. Math. 150 (1996), no. 2, 97-112.
- Chigogidze, A.; Kawamura, K.; Tymchatyn, E. D.:
N”beling spaces and pseudo-interiors of Menger
compacta. Topology Appl. 68 (1996), no. 1, 33-65.
- Kawamura, K.; Tuncali, H. M.; Tymchatyn, E. D.:
Expansive homeomorphisms on Peano curves.
Houston J. Math. 21 (1995), no. 3, 573-583.
- Chigogidze, Alex; Kawamura, Kazuhiro; Tymchatyn, E.
D.: Menger manifolds. Continua (Cincinnati,
OH, 1994), 37-88, Lecture Notes in Pure and Appl. Math., 170, Dekker,
New York, 1995.
- Lelek, A.; Tymchatyn, E. D.: Properties of continua
related to dimension theory. Glas. Mat. Ser. III
28(48) (1993), no. 1, 139-153.
- Bula, W.; Nikiel, J.; Tymchatyn, E. D.: The Koenigsberg
bridge problem for Peano continua. Canad. J.
Math. 46 (1994), no. 6, 1175-1187.
- Nikiel, J.; Tuncali, H. M.; Tymchatyn, E. D.: Dense
embeddings into cubes and manifolds. Continuum
theory and dynamical systems, 243-260, Lecture Notes in Pure and Appl.
Math., 149, Dekker, New York, 1993.
- Oversteegen, Lex G.; Tymchatyn, E. D.: On the
dimension of certain totally disconnected spaces.
Proc. Amer. Math. Soc. 122 (1994), no. 3, 885-891.
- Debski, W.; Tymchatyn, E. D.: A note on
accessible composants in Knaster continua.
Houston J. Math. 19 (1993), no. 3, 435-442.
- Grispolakis, J.; Nikiel, J.; Simone, J. N.;
Tymchatyn, E. D.: Separators in continuous images of
ordered continua and hereditarily locally connected continua.
Canad. Math. Bull. 36 (1993), no. 2, 154-163.
- Marsh, M. M.; Tymchatyn, E. D.: Inductively weakly
confluent mappings. Houston J. Math. 18
(1992), no. 2, 235-250.
- Nikiel, J.; Tymchatyn, E. D.: On homogeneous images of
compact ordered spaces. Canad. J. Math.
45 (1993), no. 2, 380-393.
- Nikiel, J.; Tuncali, H. M.; Tymchatyn, E. D.:
Continuous images of arcs and inverse limit methods.
Mem. Amer. Math. Soc. 104 (1993), no. 498, viii+80 pp.
- Buskirk, R. D.; Nikiel, J.; Tymchatyn, E. D.: Totally
regular curves as inverse limits. Houston J. Math.
18 (1992), no. 3, 319-327.
- Bula, W.; Nikiel, J.; Tuncali, H. M.; Tymchatyn, E.
D.: Continuous images of ordered compacta are
regular supercompact. Proceedings of the Tsukuba Topology Symposium
(Tsukuba, 1990). Topology Appl. 45 (1992), no. 3,
203-221.
- Debski, W.; Tymchatyn, E. D.: Composant-like
decompositions of spaces. Fund. Math. 140
(1991), no. 1, 69-78.
- Nikiel, J.; Tymchatyn, E. D.: Sets of end-points and
ramification points in dendroids. Fund. Math. 138
(1991), no. 2, 139-146.
- Nikiel, J.; Tuncali, H. M.; Tymchatyn, E. D.: A
locally connected rim-countable continuum which is the
continuous image of no arc. Topology Appl. 42 (1991), no. 1, 83-93.
- Mayer, J. C.; Mohler, L. K.; Oversteegen, L. G.;
Tymchatyn, E. D.: Characterization of separable
metric R-trees. Proc. Amer. Math. Soc. 115 (1992), no. 1,
257-264.
- Kato, Hisao; Koyama, Akira; Tymchatyn, E. D.: Mappings
with zero surjective span. Houston J.
Math. 17 (1991), no. 3, 325-333.
- Iliadis, S. D.; Tymchatyn, E. D.: Compactifications
with minimum rim-types of rational spaces.
Houston J. Math. 17 (1991), no. 3, 311-323.
- Nikiel, J.; Tuncali, H. M.; Tymchatyn, E. D.: On the
rim-structure of continuous images of ordered
compacta. Pacific J. Math. 149 (1991), no. 1, 145-155.
- Mayer, J. C.; Tymchatyn, E. D: . Containing spaces for
planar rational compacta. Dissertationes
Math. (Rozprawy Mat.) 300 (1990), 27 pp.
- Mayer, J. C.; Tymchatyn, E. D.: Universal rational
spaces. Dissertationes Math. (Rozprawy Mat.)
293 (1990), 39 pp.
- Oversteegen, Lex G.; Tymchatyn, E. D.: Recurrent
homeomorphisms on ${R}\sp 2$ are periodic.
Proc. Amer. Math. Soc. 110 (1990), no. 4, 1083-1088.
- Bula, Witold D.; Tymchatyn, E. D: . On a
characterization of trees. Proc. Amer. Math. Soc. 108
(1990), no. 4, 1107-1108.
- Bula, Witold D.; Tymchatyn, E. D.: Restrictions of open mappings
of continua. Proc. Amer. Math. Soc. 109 (1990), no. 1, 233-235.
- Debski, W.; Tymchatyn, E. D.: Homeomorphisms of composants in
Knaster continua. Proceedings of the 1987 Topology Conference
(Birmingham, AL, 1987). Topology Proc. 12 (1987), no. 2, 239-256.
- Brechner, B. L.; Mayer, J. C.; Tymchatyn, E. D.:
Inaccessibility, essential maps, and shape theory.
Fund. Math. 132 (1989), no. 1, 1-23.
- Grispolakis, J.; Tymchatyn, E. D.: The fundamental
group and weakly confluent mappings on ANRs.
II. Proceedings of the 1986 Topology Conference (Lafayette, LA, 1986).
Topology Proc. 11 (1986), no. 2, 281-290.
- Oversteegen, L. G.; Tymchatyn, E. D.: On hereditarily
indecomposable compacta. Geometric and algebraic topology, 407-417,
Banach Center Publ., 18, PWN, Warsaw, 1986.
- Grispolakis, J.; Tymchatyn, E. D.: On a
characterization of W-sets and the dimension of
hyperspaces. Proc. Amer. Math. Soc. 100 (1987), no. 3, 557-563.
- Mackowiak, T.; Tymchatyn, E. D.: Some classes of
locally connected continua. Colloq. Math. 52
(1987), no. 1, 39-52.
- Debski, W.; Tymchatyn, E. D.: External
equivalence classes in decompositions of spaces. Proc.
Amer. Math. Soc. 100 (1987), no. 4, 781-784.
- Grispolakis, J.; Tymchatyn, E. D.: On the Cech
cohomology of continua with no n-ods. Houston
J. Math. 11 (1985), no. 4, 505-513.
- Mayer, J. C.; Oversteegen, Lex G.; Tymchatyn, E. D.: The Menger
curve. Characterization and extension of homeomorphisms of
non-locally-separating closed subsets. Dissertationes Math.
(Rozprawy Mat.) 252 (1986), 45 pp.
- Mackowiak, T.; Tymchatyn, E. D. Some properties of open and related
mappings. Colloq. Math. 49 (1985), no. 2, 175-194.
- Mackowiak, T.; Tymchatyn, E. D.: Continuous mappings on
continua. II. Dissertationes Math. (Rozprawy Mat.) 225 (1984), 57
pp.
- Oversteegen, Lex G.; Tymchatyn, E. D.: Plane strips
and the span of continua. II. Houston J. Math.
10 (1984), no. 2, 255-266.
- Oversteegen, Lex G.; Tymchatyn, E. D.: On span and
weakly chainable continua. Fund. Math. 122
(1984), no. 2, 159-174.
- Oversteegen, Lex G.; Tymchatyn, E. D.: On the span of
weakly-chainable continua. Fund. Math. 119
(1983), no. 2, 151-156.
- Oversteegen, Lex G.; Tymchatyn, E. D.: On span and
chainable continua. Fund. Math. 123 (1984),
no. 2, 137-149. (Reviewer: C. E. Burgess) 54F20 (54F15)
- Oversteegen, Lex G.; Tymchatyn, E. D.: Subcontinua with
degenerate tranches in hereditarily decomposable continua. Trans.
Amer. Math. Soc. 278 (1983), no. 2, 717-724.
- Tymchatyn, E. D.: Some rational continua. Rocky
Mountain J. Math. 13 (1983), no. 2, 309-319.
- Oversteegen, Lex G.; Tymchatyn, E. D.: Plane strips
and the span of continua. I. Houston J. Math. 8
(1982), no. 1, 129-142.
- Martin, John R.; Oversteegen, Lex G.; Tymchatyn, E.
D.: Fixed point set of products and cones.
Pacific J. Math. 101 (1982), no. 1, 133-139.
- Tymchatyn, E. D.: On absolutely essential mappings.
Houston J. Math. 7 (1981), no. 1, 137-145.
- Grispolakis, J.; Tymchatyn, E. D.: On confluent
mappings and essential mappings--a survey. Rocky
Mountain J. Math. 11 (1981), no. 1, 131-153.
- Hunt, J. H. V.; Tymchatyn, E. D.: A theorem on
involutions on unicoherent spaces. Quart. J. Math.
Oxford Ser. (2) 32 (1981), no. 125, 57-67.
- Oversteegen, Lex G.; Tymchatyn, E. D.: On atriodic
tree-like continua. Proc. Amer. Math. Soc. 83
(1981), no. 1, 201-204.
- Grispolakis, J.; Tymchatyn, E. D.: Continua which are
images of weakly confluent mappings only. II.
Houston J. Math. 6 (1980), no. 3, 375-387.
- Grispolakis, J.; Tymchatyn, E. D.: On the existence of
arcs in rational curves. Fund. Math. 108
(1980), no. 1, 23-26.
- Grispolakis, J.; Tymchatyn, E. D.: Irreducible
continua with degenerate end-tranches and arcwise
accessibility in hyperspaces. Fund. Math. 110 (1980), no. 2,
117-130.
- Martin, John R.; Tymchatyn, E. D.: Fixed point sets of
1-dimensional Peano continua. Pacific J.
Math. 89 (1980), no. 1, 147-149.
- Grispolakis, J.; Tymchatyn, E. D.: Confluent mappings and Cech
cohomology. Proc. Int. Conf. Geometric Topology. Polish Scientific
Publishers, Warszawa (1980), 177-182.
- Grispolakis, J.; Tymchatyn, E. D.: Continua which are
images of weakly confluent mappings only. I.
Houston J. Math. 5 (1979), no. 4, 483-502.
- Grispolakis, J.; Tymchatyn, E. D.: Confluent images of rational
continua. Houston J. Math. 5 (1979), no. 3, 331-337.
- Grispolakis, J.; Tymchatyn, E. D.: Continua which
admit only certain classes of onto mappings.
Proceedings of the 1978 Topology Conference (Univ. Oklahoma, Norman,
Okla., 1978), II. Topology Proc. 3 (1978), no. 2,
347-362 (1979).
- Grispolakis, J.; Nadler, Sam B., Jr.; Tymchatyn, E. D.: Some
properties of hyperspaces with applications to continua theory.
Canad. J. Math. 31 (1979), no. 1, 197-210.
- Grispolakis, J.; Tymchatyn, E. D.: Embedding smooth
dendroids in hyperspaces. Canad. J. Math. 31
(1979), no. 1, 130-138.
- Grispolakis, J.; Tymchatyn, E. D.: Hereditarily
$\sigma $-connected continua. Colloq. Math. 41
(1979), no. 1, 57-65.
- Grispolakis, J.; Tymchatyn, E. D.: $\sigma
$-connectedness in hereditarily locally connected spaces.
Trans. Amer. Math. Soc. 253 (1979), 303-315.
- Grispolakis, J.; Tymchatyn, E. D.: Semi-confluent
mappings and acyclicity. Houston J. Math. 4
(1978), no. 3, 343-357.
- Grispolakis, J.; Tymchatyn, E. D.: Weakly confluent
mappings and the covering property of
hyperspaces. Proc. Amer. Math. Soc. 74 (1979), no. 1, 177-182.
- Grispolakis, Joachim; Tymchatyn, Edward D.: A
universal smooth dendroid. Bull. Acad. Polon. Sci.
S‚r. Sci. Math. Astronom. Phys. 26 (1978), no. 12, 991-998 (1979).
- Tymchatyn, E. D.: On finitely Suslinian continua.
Fund. Math. 98 (1978), no. 3, 231-247.
- Tymchatyn, E. D.: Compactification of hereditarily
locally connected spaces. Canad. J. Math. 29
(1977), no. 6, 1223-1229.
- Tymchatyn, E. D.: Some n-arc theorems. Pacific J.
Math. 66 (1976), no. 1, 291-294.
- Tymchatyn, E. D.: Weakly confluent mappings and a
classification of continua. Colloq. Math. 36
(1976), no. 2, 229-233.
- Nishiura, T.; Tymchatyn, E. D.: Hereditarily locally connected
spaces. Houston J. Math. 2 (1976), no. 4, 581-599.
- Tymchatyn, E. D.: The Hahn-Mazurkiewicz theorem for
finitely Suslinian continua. General Topology
and Appl. 7 (1977), no. 1, 123-127.
- Tymchatyn, E. D.: Compactifications of rational spaces.
Houston J. Math. 3 (1977), no. 1, 131-139.
- Tymchatyn, E. D.: Characterizations of continua in
which connected subsets are arcwise connected.
Trans. Amer. Math. Soc. 222 (1976), 377-388.
- Lelek, A.; Tymchatyn, E. D.: Pseudo-confluent mappings
and a classification of continua. Canad. J.
Math. 27 (1975), no. 6, 1336-1348.
- Grispolakis, J.; Lelek, A.; Tymchatyn, E. D.:
Connected subsets of finitely Suslinian continua. Colloq.
Math. 35 (1976), no. 2, 209-222.
- Tymchatyn, E. D.: Hyperspaces of hereditarily
indecomposable plane continua. Proc. Amer. Math.
Soc. 56 (1976), 300-302.
- Tymchatyn, E. D.: Partial orders on the 2-cell.
Canad. Math. Bull. 18 (1975), no. 3, 411-416.
- Tymchatyn, E. D.: On the rim-types of hereditarily
locally connected continua. Fund. Math. 89 (1975),
no. 2, 93-97.
- Tymchatyn, E. D.: Continua in which all connected
subsets are arcwise connected. Trans. Amer. Math.
Soc. 205 (1975), 317-331.
- Tymchatyn, E. D.; Friberg, B. O.: A problem of Martin
concerning strongly convex metrics on
$E\sp{3}$. Proc. Amer. Math. Soc. 43 (1974), 461-464.
- Tymchatyn, E. D.; Hunt, J. H. V.: The theorem of Miss
Mullikin-Mazurkiewicz-van Est for unicoherent
Peano spaces. Fund. Math. 77 (1973), no. 3, 285-287.
- Tymchatyn, E. D.: Partial order and collapsibility of
2-complexes. Fund. Math. 77 (1972), no. 1, 5-7.
- Tymchatyn, E. D.: Continua whose connected subsets are
arcwise connected. Colloq. Math. 24
(1971/72), 169-174, 286.
- Tymchatyn, E. D.: Some order theoretic characterizations of the
3-cell. Colloq. Math. 24 (1971/72), 195-203.
- Tymchatyn, E. D.: Antichains and products in partially ordered
spaces. Trans. Amer. Math. Soc. 146 1969 511-520.
- Tymchatyn, E. D.: The 2-cell as a partially ordered
space. Pacific J. Math. 30 1969 825-836.
- Tymchatyn, E. D.; Ward, L. E., Jr.: On three problems
of Franklin and Wallace concerning partially
ordered spaces. Colloq. Math. 20 1969 229-236.
- Tymchatyn, E. D.: A one-parameter subsemigroup which
meets many regular ${\cal D}$-classes.
Canad. J. Math. 21 1969 735-739.
Last update: September 10, 2000