Abstract The research aims to investigate the spatiality of the sequential Japanese tea (roji) and stroll garden (kaiyûshiki), whose appearance reached its peak during the Feudal period in Japan (1573–1868), in relation to the perceiver's locomotion. The desire of that era to go beyond sensual beauty and to make a philosophical statement, led to the development of a garden where the moving participant perceives a series of successive fragmentary views. Such a concept of space, with the principle of successive observation, is a distinct feature of Japan, and can also be observed in urban design, architecture, painting and literature. This research is about the necessity of incorporating movement in the design of gardens, as a prerequisite for fully perceiving space. It thereby shows how through analysing those two distinct types of sequential spaces, the Japanese tea and stroll gardens, one arrives at patterns of spatial configurations that encourage active participation on the subject's part. Emphasising the environment-person transaction, the research aims to study the structure and features of the Japanese tea and stroll gardens as sequential spaces, with reference to the affordance possibilities they provide for an individual, as developed by the late James J. Gibson. Although not confined solely to it, the analysis used at the core of this research, is based on Gibson's ecological approach and on Harry Heft's contribution to ecological psychology. The empirical part of the research uses a variety of gardens as examples, as well as the case studies of a model teagarden and the garden of Shisendô (situated in the city of Kyoto). The research aims to acquire accounts of knowledge of techniques and spatial formations that do not ignore or minimise the central importance of the subject's movement, but on the contrary, fortify and take advantage of it. This body of knowledge can be an initial approach to designing sequential spaces in domains that lack the specific socio-cultural practices by showing some opportunities and potential affordances that every perceiver can pick up using his own background and cultural context.

<p>A priori limit operator&gt;. maps sequence of a set X into a subset of X.<br />There exists maximal topology on X such that for each sequence x there holds<br />&gt;.(x) C limx. The space obtained in such way is always sequential.<br />If a priori limit operator each sequence x which satisfy lim sup x = lim inf x<br />maps into {lim sup x}, then we obtain the sequential topology Ts.&nbsp; If a priori &#39;limit<br />operator maps each sequence x into {lim sup x}, we obtain topology denoted by<br />aT. Properties of these topologies, in general, on class of Boolean algebras with<br />condition (Ii) and on class of weakly-distributive b-cc algebras are investigated.<br />Also, the relations between these classes and other classes of Boolean algebras are<br />considered.</p> / <p>A priori limit operator A svakom nizu elemenata skupa X dodeljuje neki<br />podskup skupa X. Tada na skupu X postoji maksimalna topologija takva da za<br />svaki niz x vazi A(X) c lim x. Tako dobijen prostor je uvek sekvencijalan.<br />Ako a priori limit operator svakom nizu x koji zadovoljava uslov lim sup x =<br />liminfx dodeljuje skup {limsupx} onda se, na gore opisan nacin, dobija tzv.<br />sekvencijalna topologija Ts. Ako a priori limit operator svakom nizu x dodeljuje<br />{lim sup x}, dobija se topologija oznacena sa OT.&nbsp; Ispitivane su osobine ovih<br />topologija, generalno, na klasi Bulovih algebri koje zadovoljavaju uslov (Ii) ina<br />klasi slabo-distributivnih i b-cc algebri, kao i odnosi ovih klasa prema drugim<br />klasama Bulovih algebri.</p>