Foreword

[5] A. T. Fomenko and D. B. Fuchs, A Course in Hom

Topology, Nauka, Moscow, 1989; English transl. of a preli

edition, A. T. Fomenko, D. B. Fuchs, and V. L. Gutenmakhe

motopic Topology, Akademiai Kiado, Budapest, 1986.

[6] V. A. Rokhlin and D. B. Fuchs, Beginner's Course in Top

Geometric Chapters. Nauka, Moscow, 1977; English transl., Sp

Verlag, Berlin-New York, 1984.

[7] M. M. Postnikov, Lectures in Algebraic Topology, Hom

Theory of Cell Spaces, Nauka, Moscow, 1985 (in Russian).

[8] J. R. Munkres, Elementary Differential Topology, An

Math. Studies, no. 54, Princeton University Press, 1966.

[9] J. W. Milnor, Morse Theory, Princeton University Press,

[10] J. W. Milnor, Lectures on the /i-Cobordism Theorem, P

ton University Press, 1965.

[11] J. W. Milnor, Characteristic Classes, Notes by J. St

Princeton University, 1957.

[12] S. P. Novikov, Topology-1, Contemporary Problems of

ematics, Fundamental Directions, Vol. 12, VINITI, Moscow,

English transl., Encyclopedia Math. Sci., Vol. 12, Springer-V

Berlin-New York, 1988.

Books [1-4] provide a basis for topological geometric int

they are recommended as preliminary reading.

Chapters 1 and 2 of [5] cover such topics as homotopy g

homotopy theory of cellular spaces, and basic (co)homology t

The book [8] provides an introduction to smooth manifold the

nice explanation of Morse theory is contained in [9 and 10]. The

[6] is not easy reading for beginners and we recommend it with

however, it can serve as an exhaustive handbook and dictiona

all topics studied in the first half of our book, and [7] helps in

rare cases when [6] is insufficient. The book [11] is one of the w

best textbooks in algebraic topology, and I hope that the read

be able to handle it. Finally, [12] is a nice and very wide sur

the modern state of topology.

[5] A. T. Fomenko and D. B. Fuchs, A Course in Hom

Topology, Nauka, Moscow, 1989; English transl. of a preli

edition, A. T. Fomenko, D. B. Fuchs, and V. L. Gutenmakhe

motopic Topology, Akademiai Kiado, Budapest, 1986.

[6] V. A. Rokhlin and D. B. Fuchs, Beginner's Course in Top

Geometric Chapters. Nauka, Moscow, 1977; English transl., Sp

Verlag, Berlin-New York, 1984.

[7] M. M. Postnikov, Lectures in Algebraic Topology, Hom

Theory of Cell Spaces, Nauka, Moscow, 1985 (in Russian).

[8] J. R. Munkres, Elementary Differential Topology, An

Math. Studies, no. 54, Princeton University Press, 1966.

[9] J. W. Milnor, Morse Theory, Princeton University Press,

[10] J. W. Milnor, Lectures on the /i-Cobordism Theorem, P

ton University Press, 1965.

[11] J. W. Milnor, Characteristic Classes, Notes by J. St

Princeton University, 1957.

[12] S. P. Novikov, Topology-1, Contemporary Problems of

ematics, Fundamental Directions, Vol. 12, VINITI, Moscow,

English transl., Encyclopedia Math. Sci., Vol. 12, Springer-V

Berlin-New York, 1988.

Books [1-4] provide a basis for topological geometric int

they are recommended as preliminary reading.

Chapters 1 and 2 of [5] cover such topics as homotopy g

homotopy theory of cellular spaces, and basic (co)homology t

The book [8] provides an introduction to smooth manifold the

nice explanation of Morse theory is contained in [9 and 10]. The

[6] is not easy reading for beginners and we recommend it with

however, it can serve as an exhaustive handbook and dictiona

all topics studied in the first half of our book, and [7] helps in

rare cases when [6] is insufficient. The book [11] is one of the w

best textbooks in algebraic topology, and I hope that the read

be able to handle it. Finally, [12] is a nice and very wide sur

the modern state of topology.